Time, Speed and Distance (Part-6)

Total Questions: 50

41. A man's average driving speed for 9 hours is 72 km/h. During the first 3 hours of his journey, he drove at 54 km/h, and for the next 2 hours and 15 minutes, he drove at a speed of 68 km/h. He maintained a speed of 90 km/h for another 3 hours. What was his speed (in km/h) for the last 45 minutes? [Higher Secondary 04/08/2022 (Shift - 3)]

Correct Answer: (b) 84
Solution:

42. Four cities P, Q, R and S are on the corner of the square and the side of a square is 75 km. A businessman travels from P to Q at 5 km/h, Q to R at 3 km/h, R to S at 5 km/h and S to P at 3 km/h. Find his average speed of the whole journey. [Higher Secondary 05/08/2022 (Shift - 2)]

Correct Answer: (a) 3¾ km/h
Solution:

43. A thief escapes from a police station at 8:00 a.m. on a cycle at a speed to 50 km/h. A policeman starts chasing the thief on a motorbike at 9: 30 a.m. at the speed of 65 km/h. At what distance from the police station will the policeman catch up with the thief? [SSC MTS 05/07/2022 (Evening)]

Correct Answer: (c) 325 km
Solution:

44. A and B leave from point M at the same time towards point N. B reaches N and starts towards M instantly. He meets A at point O (between M and N). The distance between M and N is 245 km. if the speeds of A and B are 26 km/h and 65 km/h respectively, then what is the distance between O and N? [SSC MTS 05/07/2022 (Evening)]

Correct Answer: (b) 105 km
Solution:

45. The ratio of the speed of a bus to that of a train is 15:27. Also, a car covers a distance of 720 km in 9 hours. The speed of the bus is three-fourths of the speed of the car. How much distance will the train cover in 7 hours? [SSC MTS 07/07/2022 (Afternoon)]

Correct Answer: (b) 756 km
Solution:

46. Points A and B are 200 km apart. A person starts from A at 10 a.m. at a speed of 10 km/h and goes towards B. Another person starts from B at 11 a.m. at a speed of 20 km/h and goes towards A. At what time will they meet? [SSC MTS 08/07/2022 (Afternoon)]

Correct Answer: (d) 5:20 p.m.
Solution:

47. P starts place A at 6 a.m. and reaches B after 8 hours. Q starts from B at 8 a.m. and reaches A after 9 hours. When they meet, what is the ratio of the distance travelled by Q to the distance travelled by P [SSC MTS 08/07/2022 (Evening)]

Correct Answer: (c) 6 : 11
Solution:

48. The speed of Ashu is 15 km/h more than the speed of Vishu. They start moving in the same direction at the same time, but initially Vishu is ahead of Ashu by a certain distance. If Ashu crosses Vishu 6 hours after they start moving, what is the initial distance between them? [SSC MTS 11/07/2022 (Morning)]

Correct Answer: (c) 90 km
Solution:

49. A train crosses a stationary pole completely in 18 seconds and a bridge completely in 44 seconds. If the length of the bridge is 650 meters, then what is the length of the train? [SSC MTS 11/07/2022 (Evening)]

Correct Answer: (c) 450 m
Solution:

50. Abbhishek climbs up a hill at a speed of 3 mi/h and comes down at a speed of 5 mi/h. If the total time taken for the two - way journey is 10 hours, then what is the distance between the hilltop and the foothill? [SSC MTS 14/07/2022 (Afternoon)]

Correct Answer: (b) 18.75 mi
Solution: