Time, Speed and Distance (Part-7)

Total Questions: 50

31. A man travelled a distance of 47 km in 6 hours. He travelled partly on foot at the rate of 6½ km/h and partly on bicycle at the rate of 8½ km/h. The distance travelled on foot is: [SSC MTS 11/10/2021 (Afternoon)]

Correct Answer: (a) 13 km
Solution:

32. A lady walks to her office every day from home and maintains a fixed time for the same. On one day she decreases her speed by 25%. By what fraction of her usual time will she be late on that day? [SSC MTS 12/10/2021 (Afternoon)]

Correct Answer: (c) 1/3
Solution:

33. Sita and Geeta start at the same time to ride from place A to place B, which is 90 km away from A. Sita travels 3 km per hour slower than Geeta. Geeta reaches place B and at once turns back meeting Sita 15 km from place B. Sita's speed (in km/h) is: [SSC MTS 13/10/2021 (Morning)]

Correct Answer: (d) 7.5
Solution:

34. Two girls move in opposite directions, one from A to B and the other from B to A. The girl from A reaches the destination in 12 minutes. The girl from B stops on the way for 10 minutes and reaches her destination in 25 minutes. If A's speed is 5 km/h, then what is the speed of B (in km/h)? [SSC MTS 13/10/2021 (Afternoon)]

Correct Answer: (c) 4
Solution:

35. While covering a distance of 51 km, a man noticed that after walking for one hour and 40 minutes, the distance covered by him was 5/12 of the remaining distance. What was his speed (in km/h)? [SSC MTS 18/10/2021 (Morning)]

Correct Answer: (d) 9
Solution:

36. An earthworm of length 18 cm is crawling along a certain path with a speed of 4 cm/s. An insect overtakes the earthworm in 6 s. How fast (in cm/s) is the insect walking? Assume that they both are walking along parallel paths.  [SSC MTS 20/10/2021 (Evening)]

Correct Answer: (a) 7.0
Solution:

37. An airplane took off from the starting point 45 minutes later than the scheduled time. The destination was 2100 km away from the starting point. To reach on time, the pilot had to increase the speed by 40% of its usual speed. What was the increased speed (in km/h)? [SSC MTS 22/10/2021 (Morning)]

Correct Answer: (d) 1120
Solution:

38. A person traveled a distance of 150 km and then returned to the starting point. The time taken for the outward journey was 2½ hours more than that for the return journey. His speed for the return journey was 10 km/h more than that for the outward journey. His speed for the return journey, in km/h, was: [SSC MTS 26/10/2021 (Afternoon)]

Correct Answer: (a) 30
Solution:

39. A truck driver has to cover a total distance of 260 km in 4 hours. He drives at a speed of 56 km/h for the first 75 minutes, and the next 90 km at a speed of 60 km/h. At what speed (in km/h) must he drive the remaining distance in order to complete the journey in 4 hours? [SSC MTS 02/11/2021 (Morning)]

Correct Answer: (c) 80
Solution:

40. Two cyclists start simultaneously from two points A and B, their destinations being B and A, respectively. After crossing each other, they precisely take 2 hours 33 minutes 36 seconds and 1 hour 26 minutes 24 seconds respectively to reach their destinations. What is the ratio of the speed of the first to that of the second cyclist? [SSC MTS 02/11/2021 (Evening)]

Correct Answer: (d) 3:4
Solution: