Time, Speed and Distance (Part-7)

Total Questions: 50

1. A train P travelling at a speed of 15 m/s is able to cross a platform of 200m length completely in 30 seconds. Approximately how long will it take train P to cross a man who is coming towards the train on his bike at speed of 27 km/h? [SSC MTS 14/07/2022 (Evening)]

[Note: Ignore the length of the bike]

Correct Answer: (b) 11.1 sec
Solution:

2. A bus can travel 20% faster than a scooter. Both start from point P at the same time, and reach point Q, 60 km away from point P, at the same time. On the way, however, the bus lost about 10 mins while stopping at bus stations, while the scooter did not stop anywhere. What is the speed of the bus? [SSC MTS 15/07/2022 (Morning)]

Correct Answer: (d) 72 km/h
Solution:

3. What is the total time taken by a train L to cross a stationary train T of length twice that of L, if the train L crosses a platform of length thrice that of train T in 28 seconds? [SSC MTS 18/07/2022 (Evening)]

Correct Answer: (d) 12 sec
Solution:

4. A train can cover a certain distance in 3 hrs. If the track management is improved, an increase in the speed of the train by 10 km/h is possible, which can reduce the above journey times by 30 minutes. Find the initial speed of the train. [SSC MTS 19/07/2022 (Evening)]

Correct Answer: (c) 50 km/h
Solution:

Let the speed of train = X km/h
According to the question,
Therefore, ⇒ X × 3 = (X + 10) 2.5
⇒ 3X = 2.5X + 25 ⇒ 0.5X = 25
So, X = 50 km/h

5. A car starts at a speed of 30 km/h and increases its speed by 5 km/h after every hour. Another car has a constant speed of 40 km/h. In how much time will both the cars cover an equal distance? [SSC MTS 20/07/2022 (Evening)]

Correct Answer: (c) 5 hours
Solution:

6. An inkjet printer can print 8 lines/second and can print a document in 6 minutes. How much time would an LED printer take to print the same document if it can print 7 lines/second more than the inkjet printer? [SSC MTS 21/07/2022 (Morning)]

Correct Answer: (c) 3 min 12 sec
Solution:

7. The speed of a superfast train, T₁ is 20% more than the speed of another superfast train T₂. Both the trains start from point N at the same time and reach point M at the same time. N and M are 500 km apart. T₁ stops for 10 minutes on the way to M, but T₂ covers the distance without any stops en route. What is the speed of T₁? [SSC MTS 22/07/2022 (Morning)]

Correct Answer: (a) 600 km/h
Solution:

8. With an average speed of 42 km/h, a train reaches its destination in time. If it moves with an average speed of 14 km/h, it is late by 35 minutes. The length of the journey is: [SSC CHSL 27/05/2022 (Evening)]

Correct Answer: (a) 12.25
Solution:

9. A train covers the distance between two stations X and Y in 6 hours. If the speed of the train is reduced by 13 km/h, then it travels the same distance in 9 hours. Find the distance between the two stations? [SSC CHSL 30/05/2022 (Morning)]

Correct Answer: (b) 234
Solution:

10. Sunila drove her car at an average speed of 45 km/h for the first 75 km of a trip, and then at an average speed of 70 km/h for the remaining 45 km of the trip. If she made no stops during the trip, what was Sunila's average speed (in km/h) for the entire trip? [SSC CHSL 31/05/2022 (Morning)]

Correct Answer: (d) 51⁹³⁄₉₇
Solution: