Time, Speed and Distance (Part-3)

Total Questions: 50

41. A drives for 2 hours, 2.5 hours, 3 hours, 2 hours and 2.5 hours in five days of a week, respectively. His speeds on these days are 45 km/h, 50 km/h, 60 km/h, 70 km/h and 80 km/h, respectively. What is his average speed for the week? [Matriculation Level 21/06/2024 (Shift - 1)]

Correct Answer: (c) 61.25 km/h
Solution:

42. Two trains, A and B started travelling towards each other at the same time, from places P to Q and Q to P, respectively. After crossing each other, A and B took 9 hours and 16 hours to reach Q and P, respectively. If the speed of A was 56 km/h, then what was the speed (in km/h) of B? [Matriculation Level 21/06/2024 (Shift - 1)]

Correct Answer: (c) 42
Solution:

43. A train starts from station P with 'n' number of passengers. At station Q, 20% of the passengers get down and 50 passengers get in. At station R, 40% of the passengers get down and 10 passengers get in. If a total of 520 passengers are left on the train, find the value of 'n'. [Matriculation Level 21/06/2024 (Shift - 4)]

Correct Answer: (b) 1000
Solution:

44. A truck driver drove for 4 hours at 40 km/h. He drove for another 3 hours at 50 km/h after taking rest for 1 h. What was the driver's average speed, in km/h, during the whole journey? [Matriculation Level 21/06/2024 (Shift - 4)]

Correct Answer: (b) 38.75
Solution:

45. Ram goes to his office from his house at a speed of 8 km/h and returns at a speed of 2 km/h. If he takes four hours in going and coming back, find the distance between the house and the office. [Matriculation Level 21/06/2024 (Shift - 4)]

Correct Answer: (a) 6.4 km
Solution:

46. A car covers a distance of 45.6 km in 2.4 litres of petrol. How much distance will it cover in 1 litre of petrol? [Matriculation Level 24/06/2024 (Shift - 1)]

Correct Answer: (a) 19 km
Solution:

47. Ram, standing on a railway platform, noticed that a train took 36 seconds to completely pass through the platform, which was 108 m long, and it took 12 seconds in passing him. Find the speed of the train. [Matriculation Level 24/06/2024 (Shift - 4)]

Correct Answer: (c) 16.2 km/h
Solution:

48. A goods train 350 m long passes through a tunnel of 1250m in 80 seconds. What is the speed of the train ?  [Matriculation Level 25/06/2024 (Shift - 1)]

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

49. Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two stations is: [Matriculation Level 25/06/2024 (Shift - 1)]

Correct Answer: (b) 350
Solution:

50. Two trains of equal length take 10 s and 20 s, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other? [Matriculation Level 25/06/2024 (Shift - 1)]

Correct Answer: (c) 40 sec
Solution: