Time, Speed and Distance (Part-4)

Total Questions: 50

31. A policeman sees a thief from a distance of 185 m. The thief starts running away and the policeman chases him. The thief and the policeman run at speeds of 8m/s and 9m/s respectively. What is the distance between them after 2 minutes? [SSC MTS 05/09/2023 (2nd Shift)]

Correct Answer: (a) 65 m
Solution:

Relative speed = 9 - 8 = 1m/s
1 second → 1 meter
2 minute (120 second) = 120 meter
Required distance = 185 - 120 = 65 meter

32. A train covers a certain distance with a speed of 72 km/h in the first two hours of its journey and 120 km in the next 1.5 hours. What is its average speed (in km/h, rounded off to the nearest integer) for the entire journey? [SSC MTS 05/09/2023 (3rd Shift)]

Correct Answer: (a) 75
Solution:

33. Two trains of equal length are running on parallel lines in the same direction at 36 km/h and 54 km/h. The faster train passes the slower train in 48 seconds. The length of each train (in m) is: [SSC MTS 06/09/2023 (1st Shift)]

Correct Answer: (d) 120
Solution:

34. Trains A and B start at the same time. Train A travels at the speed of 50 km/h from station P to station Q and train B travels at the speed of 70 km/h from station Q to station P. They cross each other after 1 hour 20 minutes. What is the distance (in km) between station P and station Q? [SSC MTS 06/09/2023 (2nd Shift)]

Correct Answer: (d) 160
Solution:

35. A thief is noticed by a policeman from a distance of 98 m. The thief starts running and the policeman chases him. The thief and policeman run at the speed of 90 km/h and 118.8 km/h, respectively. What is the time taken to catch the thief by a policeman ? [SSC MTS 06/09/2023 (3rd Shift)]

Correct Answer: (d) 12¼ sec
Solution:

36. Two-fifth of a journey is covered at a speed of 45 km/h, and the remaining distance is covered at the rate of 63 km/h. The average speed for the whole journey (in km/h, rounded off to the nearest integer) is: [SSC MTS 11/09/2023 (3rd Shift)]

Correct Answer: (c) 54
Solution:

37. Two trains A and B, 210 m and 150 m, respectively, in length, are running in the same direction on parallel lines. If the speed of A and B be 110 km/h and 128 km/h, respectively, then what will be the time (in seconds) taken by train B to cross train A? [SSC MTS 11/09/2023 (3rd Shift)]

Correct Answer: (a) 72
Solution:

38. Two places A and B are 60 km apart from each other on a highway. A car starts from A and another car from B at the same time. If they move in the same direction, they meet each other in 6 hours. If they move in the opposite direction towards each other, they meet in 1 hour 30 minutes. Find the speeds of the cars (in km/h). [SSC MTS 12/09/2023 (2nd Shift)]

Correct Answer: (c) 25, 15
Solution:

39. Lucknow Shatabdi Express leaves Varanasi at 3: 30 p.m. and reaches Lucknow at 8:30 p.m. on the same day. The average speed of the train is 140 km/h. What is the distance (in km) from Varanasi to Lucknow? [SSC MTS 12/09/2023 (3rd Shift)]

Correct Answer: (d) 700
Solution:

Total time taken by train = 5 hours
Required distance = 140 × 5 = 700 cm

40. Two trains are travelling in the same direction on parallel tracks. Train A is travelling at 30 km/h and Train B is travelling at 60 km/h. If Train A is 400 m long and it takes Train B two minutes to pass Train A, what is the length of Train B? [SSC MTS 13/09/2023 (1st Shift)]

Correct Answer: (d) 600 m
Solution: