SSC Mathematics Topic Wise Solved Papers – Time, Speed and Distance

SSC Mathematics Topic Wise Solved Papers – Time, Speed and Distance

SSC Mathematics Previous Year Question Papers English Reasoning General Awareness

1.Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes ? (SSC CGL 1st Sit. 2010)
(a) 3km/hr
(b) 4km/hr
(c) 5km/hr
(d) 7km/hr

2.By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than his usual time. The usual time taken by him to reach his office is (SSC CGL 1st Sit. 2010)
(a) 75 minutes
(b) 60 minutes
(c) 40 minutes
(d) 30 minutes

3.A train, 300 m long, passed a man, walking along the line in the same direction at the rate of 3 km/hr in 33 seconds. The speed of the train is (SSC CGL 1st Sit. 2010)
(a) 30 km/hr
(b) 32 km/hr
(c) 32 8/11 km/hr
(d)35 8/11 km/hr

4.In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is (SSC CGL 2nd Sit. 2010)
(a) 15.4 kmph
(b) 14.5 kmph
(c) 14.4 kmph
(d) 14 kmph

5.A train, 240 m long crosses a man walking along the line in opposite direction at the rate of 3 kmph in 10 seconds. The speed of the train is (SSC CGL 2nd Sit. 2010)
(a) 63 kmph
(b) 75 kmph
(c) 83.4 kmph
(d) 86.4 kmph

6.A boatman rows 1 km in 5 minutes, along the stream and 6 km in 1 hour against the stream. The speed of the stream is (SSC CGL 2nd Sit. 2010)
(a) 3 kmph
(b) 6 kmph
(c) 10 kmph
(d) 12 kmph

7.A man can row 6 km/h in still water. If the speed of the current is 2 km/h, it takes 3 hours more in upstream than in the down-stream for the same distance. The distance is (SSC CGL 1st Sit. 2011)
(a) 30 km
(b) 24 km
(c) 20 km
(d) 32 km

8.A student goes to school at the rate of 2 1/2 km/h and reaches 6 minutes late. If he travels at the speed of 3 km/h. he is 10 minutes early. The distance (in km) between the school and his house is (SSC CGL 1st Sit. 2011)
(a) 5
(b) 4
(c) 3
(d) 1

9. Walking at 6th/7 of his usual speed a man is 25 minutes too late. His usual time to cover this distance is (SSC CGL 2nd Sit. 2011)
(a) 2 hours 30 minutes
(b) 2 hours 15 minutes
(c) 2 hours 25 minutes
(d) 2 hours 10 minutes

10.Walking at 5 km/hr a student reaches his school from his house 15 minutes early and walking at 3 km/hr he is late by 9 minutes. What is the distance between his school and his house? (SSC CGL 2nd Sit. 2011)
(a) 5 km
(b) 8 km
(c) 3 km
(d) 2 km

11.A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. The distance (in metres) between them after 6 minutes is (SSC CGL 1st Sit. 2012)
(a) 190
(b) 200
(c) 100
(d) 150

12.A train overtakes two persons who are walking in the same direction in which the train is running, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train (in metres): (SSC CGL 2nd Sit. 2012)
(a) 72
(b) 45
(c) 54
(d) 50

13.With average speed of 40 km/hour, a train reaches its’ destination in time. If it goes with an average speed of 35 km/hour, it is late by 15 minutes. The total journey is (SSC CGL 1st Sit 2012)
(a) 30 km
(b) 40 km
(c) 70 km
(d) 80 km

14.A ship is moving at a speed of 30 km/hr. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives the signal after it has moved 500 m. The depth of the ocean is (SSC CGL 1st Sit. 2012)
(a) 6 km
(b) 12 km
(c) √6 m
(d) 8km

15.A car covers four successive 6 km stretches at speeds of 25 kmph, 50 kmph, 75 kmph and 150 kmph respectively. Its average speed over this distance is (SSC CGL 2nd Sit. 2012)
(a) 25 kmph
(b) 50 kmph
(c) 75 kmph
(d) 150 kmph

16.A man walks a certain distance and rides back taking a total time of 37 minutes. He could walk both ways in 55 minutes. How long would he take to ride both ways? (SSC Sub. Ins. 2012)
(a) 9.5 minutes
(b) 18 minutes
(c) 19 minutes
(d) 20 minutes

17.A man walks ‘a‘ km in ‘b’ hours. The time taken to walk 200 metres is: (SSC CHSL 2012)
(a)200b/a hrs
(b)b/5a hrs
(c)b/a hrs
(d)ab/200 hrs

18. A train 100 metres long meets a man going in opposite Directions at 5 km/hr and passes him in 7 1/5 seconds. What is the speed of the train in km/hr ? (SSC CHSL 2012)
(a) 45 km/hr
(b) 60 km/hr
(c) 55 km/hr
(d) 50 km/hr

19.The minute hand of a big wall-clock is 35 cm long. Taking π= 22/7 , length of the are, its extremity moves in 18 seconds is: (SSC CHSL 2012)
(a) 11cm
(b) 1.1 cm
(c) 6.6 cm
(d) 6 cm

20.Walking at a speed of 5 km/hr, a man reaches his office 6 minutes late. Walking at 6 km/hr, he reaches there 2 minutes early. The distance of his office is (SSC Multitasking 2013)
(a) 2km
(b) 3km
(c) 4km
(d) 3.5km

21.Two trains 108 m and 112 m in length are running towards each other on the parallel lines at a speed of 45 km/hr and 54 km/hr respectively. To cross each other after they meet, it will take (SSC Multitasking 2013)
(a) 10 sec
(b) 12 sec
(c) 9 sec
(d) 8 sec

22.On a journey across Kolkata, a taxi averages 50 km per hour for 50% of the distance. 40 km per hour for 40% of it and 20 km per hour for the remaining. The average speed in km/hour, for the whole journey is: (SSC Sub. Ins. 2013)
(a) 42
(b) 40
(c) 35
(d) 45

23.A train 270 metre long is running at a speed of 36 km per hour, then it will cross a bridge of length 180 metres in: (SSC Sub. Ins. 2013)
(a) 40 sec
(b) 45 sec
(c) 50 sec
(d) 35 sec

24.Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long-it lake to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm? (SSC Sub. Ins. 2013)
(a) 28 minutes 48 seconds
(b) 51 minutes 12 seconds
(c) 51 minutes 24 seconds
(d) 28 minutes 36 seconds

25.A train is moving at a speed of 80 km/h and covers a certain distance in 4.5 hours. The speed of the train to cover the same distance in 4 hours is (SSC CHSL 2013)
(a) 90 km/h
(b) 100 km/h
(c) 70 km/h
(d) 85 km/h

26.A man can swim 3 km/hr. in still water. If the velocity of the stream is 2 km/hr. the time taken by him to swim to a place 10 km upstream and back is : (SSC CGL 1st Sit. 2013)
(a)8 1/3 hr.
(b)9 1/3 hr
(c) 10 hr.
(d) 12 hr.

27.A train moving at a rate of 36 km/hr. crosses a standing man in 10 seconds. It will cross a platform 55 metres long, in: (SSC CGL 1st Sit. 2013)
(a) 5 1/2 seconds
(b) 6 seconds
(b) 6 seconds
(b) 6 seconds

28.A man rides at the rate of 18 km/hr, but stops for 6 mins, to change horses at the end of every 7th km. The time that he will take to cover a distance of 90 km is (SSC CGL 2nd Sit. 2013)
(a) 6hrs.
(b) 6hrs. 12 min.
(c) 6hrs. 18 min.
(d) 6hrs24min.

29.A man rows down a river 15 km in 3 hrs. with the stream and returns in 7 1/2 hrs. The rate at which he rows in still water is (SSC CGL 1st Sit. 2013)
(a) 2.5 km/hr
(b) 1.5 km/hr
(c) 3.5km/hr
(d) 4.5 km/hr

30.Two cars are moving with speeds v1, v2 towards a crossing along two roads. If their distances from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speeds are such that (SSC CGL 1st Sit. 2013)
(a)v1 : v2 ≠ 5:4
(b)v1 : v2 ≠ 25:16
(c)v1 : v2 ≠ 16:25
(d)v1 : v2 ≠ 4:5

31.A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is (SSC CGL 1st Sit. 2013)
(a) 1:4
(b) 2:1
(c) 1:2
(d) 4:1

32.Anil calculated that it will take 45 minutes to cover a distance of 60 km by his car. How long will it take to cover the same distance if the speed of his car is reduced by 15 km/hr? (SSC CGL 1st Sit. 2013)
(a) 36min
(b) 55.38 min
(c) 48 min
(d) 40 min

33.A train 100 metres long moving at a speed of 50 km/hr. crosses a train 120 metres long coming from opposite direction in 6 sec. The speed of the second train is (SSC CGL 1st Sit. 2013)
(a) 60 km/hr.
(b) 82 km/hr.
(c) 70 km/hr.
(d) 74 km/hr.

34.A man performs 2/15 of the total journey by train, 9/20 by bus and the remaining 10 km on foot. His total journey in km is (SSC CGL 1st Sit. 2013)
(a) 15.6
(b) 24
(c) 16.4
(d) 12.8

35.By walking at 3/4 of his usual speed, a man reaches his office 20 minutes later than usual. His usual time is (SSC CGL 1st Sit. 2013)
(a) 30 min.
(b) 75 min.
(c) 90 min.
(d) 60 min.

36.A railway train 100 metres long is running at the speed of 30 km/hr. In what time does it pass a man standing near a line ? (SSC Multitasking 2014)
(a) 10 seconds
(b) 13 seconds
(c) 12 seconds
(d) 15 seconds

37.Raju has to cover a distance of 240 km in 4 hours. If he covers one-third of the journey in 2/7th time, what is his speed at the beginning of the journey ? (SSC Multitasking 2014)
(a) 70 km/hr
(b) 75 km/hr
(c) 60 km/hr
(d) 65 km/hr

38. A student goes to school at the rate of 5/2 km/hr and reaches 6 minutes late. If he travels at the speed of 3 km/hr, he reaches 10 minutes earlier. The distance of the school is (SSC Sub. Ins. 2014)
(a) 45 km
(b) 20 km
(c) 10km
(d) 4km

39. A train 50 metre long passes a platform 100 metre long in 10 sec. The speed of the train in km/hr is (SSC Sub. Ins. 2014)
(a) 10
(b) 54
(c) 15
(d) 100

40. A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 1 hours will be covered by A in (SSC CHSL 2014)
(a) 15 minutes
(b) 20 minutes
(c) 30 minutes
(d) 1 hour

41. A horse take 2 seconds to complete a round around a circular field. If the speed of the horse was 66 m/sec, then the radius of the field is, [Given π = 22/7]
(a) 25.62m
(b) 26.52m
(c) 25.26m
(d) 26.25m

42. It takes 8 hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more if 200 km is down by train and the rest by car. The ratio of the speed of the train to that of the car is (SSC CGL 2014)
(a) 2:3
(b) 3:2
(c) 3:4
(d) 4:3

43. If a train runs at 70 km/hour, it reaches its destination late by 12 minutes. But if it runs at 80 km/hour, it is late by 3 minutes. The correct time to cover the journey is (SSC CGL 2014)
(a) 58 minutes
(b) 2 hours
(c) 1 hour
(d) 59 minutes

44. A bus moving at 40km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour how long will it take to cover the distance? (SSC Sub. Ins. 2015)
(a) 6 hours
(b) 2 hours
(c) 4 hours
(d) 5 hours

45. How many seconds will a train 120 metres long running the rate of 36 km/ hr take to cross a bridge of 360 metres in length? (SSC Sub. Ins. 2015)
(a) 48 sec
(b) 36 sec
(c) 40 sec
(d) 46 sec

46. A train 150 m long passes a km stone in 30 seconds and another train of the same length travelling in opposite direction in 10 seconds. The speed of the second train is: (SSC CHSL 2015)
(a) 125 km/hr
(b) 25 km/hr
(c) 90 km/hr
(d) 75 km/hr

47. The speed of a car is 54 km/hr. What is its speed in m/sec? (SSC CHSL 2015)
(a) 150 m/sec
(b) 19.44 m/sec
(c) 194.4 m/sec
(d) 15 m/sec

48. A ship after sailing 12 km towards south from a particular place covered 5 km more towards east. Then the straightway distance of the ship from that place is (SSC CGL 1st Sit. 2015)
(a) 18km
(b) 15km
(c) 13 km
(d) 11km

49. A farmer travelled a distance of 61 km in 9 hrs. He travelled partly on foot at the rate of 4 km/hr and partly on bicycle at the rate of 9 km/hr. The distance travelled on foot is (SSC CGL 1st Sit. 2015)
(a) 17km
(b) 16km
(c) 15km
(d) 14km

50. Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ? (SSC CGL 1st Sit. 2015)
(a) 35 min.
(b) 40 min.
(c) 45 min.
(d) 50 min.

51. A train runs at an average speed of 75 km/hr. If the distance to be covered is 1050 Kms. How long will the train take to cover it ? (SSC CGL 1st Sit. 2015)
(a) 13 hrs
(b) 12 hrs
(c) 14 hrs
(d) 15 hrs

52. A train 180 mt long is running at a speed of 90 km/hr. How long will it take to pass a post ? (SSC CGL 1st Sit. 2015)
(a) 8.2 secs
(b) 7.8 secs
(c) 8 secs
(d) 7.2 secs

53. A man goes to a place on bicycle at speed of 16 km/hr and comes back at lower speed. If the average speed is 6.4 km/ hr in total, then the return speed (in km/hr) is (SSC CGL 1st Sit. 2016)
(a) 10
(b) 8
(c) 6
(d) 4

54. A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be (SSC CGL 1st Sit. 2016)
(a)12 1/2 km/hr
(b)13 km/hr
(c) 15 1/8 km/hr
(d) 20 Km/hr

55. A train, 200 m long, is running at a speed of 54 km/hr. The time in seconds that will be taken by train to cross a 175 m long bridge is (SSC CGL 1st Sit. 2016)
(a) 12.5
(b) 20
(c) 25
(d) 10

56. Points A and B are 100 km apart on a highway. One car starts from A and an other from B at the same time. If the cars travel in the same direction, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the faster car? (SSC Sub. Ins. 2016)
(a) 70 km/hour
(b) 40km/hour
(c) 60 km/hour
(d) 80 km/hour

57. A man travelled a distance 72 km in 12 hour. He tavelled partly on foot at 5 km/hour and partly on bicycle at 10 km/ hour. The distance travelled foot is (SSC Sub. Ins. 2016)
(a) 46 km
(b) 52 km
(c) 50 km
(d) 48 km

58. A boat goes 15 km upstream and 10 1/2 km downstream in 3 hours 15 minutes. It goes 12 km upstream and 14 km downstream in 3 hours. What is the speed of the boat in still water? (SSC CGL 2017)
(a) 4
(b) 6
(c) 10
(d) 14

59. A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train? (SSC CGL 2017)
(a) 67
(b) 134.4
(c) 145.9
(d) 160

60. A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet? (SSC CGL 2017)
(a) 1:42 p.m.
(b) 1:27 p.m.
(c) 2:04 p.m.
(d) 1:49 p.m.

61. A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km? (SSC CGL 2017)
(a) 3
(b) 5
(c) 8
(d) 10

62. Two cars travel from city A to city B at a speed of 36 km/hr and 48 km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is (SSC CHSL 2017)
(a) 518 km
(b) 432 km
(c) 648 km
(d) 346 km

63. If a train maintains an average speed of 42 km per hour, it arrives at its destination at the right time, if however, the average speed is 40 km per hour, it arrives 15 minutes late. Find the length of the journey? (SSC MTS 2017)
(a) 210km
(b) 205km
(c) 209km
(d) 200 km

64. A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is: (SSC MTS 2017)
(a) 120 m
(b) 90 m
(c) 100m
(d) 140m

65. A motorcyclist left 6 6/9 minutes later than the scheduled time but in order to reach its destination 21km away in time, he had to increase his speed by 12 km/hr from the usual speed. What is usual speed (in km/hr) of the motorcyclist? (SSC Sub. Ins. 2017)
(a) 28
(b) 35
(c) 42
(d) 64

66. A bus starts running with the initial speed of 33 km/hr and its speed increases every hour by certain amount. If it takes 7 hours to cover a distance of 315 km, then what will be hourly increment (in km/hr) in the speed of the bus? (SSC Sub. Ins. 2017)
(a) 1
(b) 2
(c) 3
(d) 4

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