A boatman logs 24 km downstream in 3 hours and the exact same route upstream in 6 hours. What is the speed of the boat in still water? MCQ with Answer and Explanation

Question

A boatman logs 24 km downstream in 3 hours and the exact same route upstream in 6 hours. What is the speed of the boat in still water?

A. 6 km/h

B. 7 km/h

C. 8 km/h

D. 5 km/h

Answer: Option A

Solution (By JKSSB Mock Tests)

Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed in still water = (8 + 4) / 2 = 6 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1

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A passenger train 180 meters long is running at 60 km/h. How much time will it take to pass a platform of length 220 meters?

A. 24 seconds

B. 27 seconds

C. 30 seconds

D. 20 seconds

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Correct Answer: Option A

Explanation:
Total distance = 180 + 220 = 400 meters. Speed = 60 * (5/18) = 50/3 m/s. Time = 400 / (50/3) = 400 * 3 / 50 = 24 seconds.

This question belongs to: Maths Time Speed and Distance

Question #2

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A train traveling at 60 km/h crosses a static tunnel in 18 seconds. If the length of the train is 120 meters, find the length of the tunnel.

A. 160 meters

B. 200 meters

C. 180 meters

D. 220 meters

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Correct Answer: Option C

Explanation:
Speed of train = 60 * (5/18) = 50/3 m/s. Total distance covered in 18 seconds = (50/3) * 18 = 300 meters. Length of tunnel = 300 - 120 = 180 meters.

This question belongs to: Maths Time Speed and Distance

Question #3

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A car climbs a mountain path 12 km long at 4 km/h and descends the same distance at 12 km/h. Find the average speed for the round journey.

A. 8 km/h

B. 6 km/h

C. 5 km/h

D. 7 km/h

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Correct Answer: Option B

Explanation:
Average Speed = 2xy / (x + y) = (2 * 4 * 12) / (4 + 12) = 96 / 16 = 6 km/h.

This question belongs to: Maths Time Speed and Distance

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