The speeds of two bodies are in the ratio 5 : 6. If they clear the same sector distance, and the slower car takes 3 hours, how much time does the faster car take? MCQ with Answer and Explanation

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The speeds of two bodies are in the ratio 5 : 6. If they clear the same sector distance, and the slower car takes 3 hours, how much time does the faster car take?

A. 2.5 hours

B. 2.6 hours

C. 2.2 hours

D. 2.8 hours

Answer: Option A

Solution (By JKExamLibrary)

Ratio of speeds = 5:6, so ratio of times taken = 6:5. Slower car takes 6 parts = 3 hours => 1 part = 0.5 hours. Time for faster car = 5 parts = 5 * 0.5 = 2.5 hours.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error

A man rows upstream 10 km and downstream 22 km, taking 3 hours each way. Find the speed of the current.

A. 2.0 km/h

B. 2.5 km/h

C. 2.2 km/h

D. 1.8 km/h

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Correct Answer: Option A

Explanation:
Upstream speed = 10 / 3 = 3.33 km/h. Downstream speed = 22 / 3 = 7.33 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (7.33 - 3.33) / 2 = 4 / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance

Question #2 Report Error

A train running at 54 km/h takes 20 seconds to pass a bridge. Next, it passes a man walking at 6 km/h in the same direction in 12 seconds. Find the length of the bridge.

A. 120 meters

B. 150 meters

C. 160 meters

D. 140 meters

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Correct Answer: Option D

Explanation:
Speed of train = 54 km/h = 15 m/s. Speed of man = 6 km/h = 5/3 m/s. Relative speed = 15 - 5/3 = 40/3 m/s. Length of train = Relative speed * time = (40/3) * 12 = 160 meters. To pass bridge: Total distance = Length of train + Length of bridge = 15 m/s * 20 seconds = 300 meters. Length of bridge = 300 - 160 = 140 meters.

This question belongs to: Maths Time Speed and Distance