A courier driver logs 3 hours at 50 km/h and the next 2 hours at 60 km/h. Find the combined average speed. MCQ with Answer and Explanation

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A courier driver logs 3 hours at 50 km/h and the next 2 hours at 60 km/h. Find the combined average speed.

A. 56 km/h

B. 55 km/h

C. 54 km/h

D. 52 km/h

Answer: Option C

Solution (By JKSSB Mock Tests)

Distance 1 = 50 * 3 = 150 km. Distance 2 = 60 * 2 = 120 km. Total distance = 270 km. Total time = 5 hours. Average speed = 270 / 5 = 54 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1

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Excluding stoppages, the speed of a bus is 54 km/h and including stoppages, it is 45 km/h. For how many minutes does the bus stop per hour?

A. 12 minutes

B. 10 minutes

C. 15 minutes

D. 9 minutes

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Correct Answer: Option B

Explanation:
Stoppage time per hour = (Fast Speed - Slow Speed) / Fast Speed = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance

Question #2

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Two trains 140 meters and 160 meters long are running at the speeds of 60 km/h and 40 km/h respectively in opposite directions on parallel tracks. What is the time taken by them to cross each other completely?

A. 9 seconds

B. 10 seconds

C. 12 seconds

D. 10.8 seconds

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Correct Answer: Option D

Explanation:
Total distance to be covered = 140 + 160 = 300 meters. Relative speed = 60 + 40 = 100 km/h = 100 * (5/18) = 250/9 m/s. Time = Distance / Speed = 300 / (250/9) = 300 * 9 / 250 = 10.8 seconds.

This question belongs to: Maths Time Speed and Distance