A motorboat covers 12 km upstream and returns back to the starting jetty in 3 hours. If the speed of the boat in still water is 9 km/h, find the speed of the river current. MCQ with Answer and Explanation

A motorboat covers 12 km upstream and returns back to the starting jetty in 3 hours. If the speed of the boat in still water is 9 km/h, find the speed of the river current.
A. 4 km/h
B. 5 km/h
C. 2 km/h
D. 3 km/h
Answer: Option D
Solution (By JKExamLibrary)
Let the speed of the current be c km/h. 12 / (9 - c) + 12 / (9 + c) = 3. Dividing by 3: 4 / (9 - c) + 4 / (9 + c) = 1 => 4(9 + c + 9 - c) = 81 - c^2 => 72 = 81 - c^2 => c^2 = 9 => c = 3 km/h.

This question belongs to: Maths Time Speed and Distance

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A train 240 meters long passes a pole in 24 seconds. How long will it take to pass a platform 650 meters long?
A. 89 seconds
B. 114 seconds
C. 100 seconds
D. 65 seconds

Correct Answer: Option A


Explanation:
Speed of train = 240 / 24 = 10 m/s. Total distance to pass platform = 240 + 650 = 890 meters. Time taken = 890 / 10 = 89 seconds.

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Question #2 Report Error
A crew can row 40 km downstream in 4 hours and 20 km upstream in 5 hours. Find the speed of the stream.
A. 3 km/h
B. 2 km/h
C. 5 km/h
D. 4 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of the stream = (Downstream speed - Upstream speed) / 2 = (10 - 4) / 2 = 6 / 2 = 3 km/h.

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Question #3 Report Error
Excluding stoppages, the speed of an intercity bus is 54 km/h and including stoppages it is 45 km/h. How many minutes does the bus stop per hour?
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B. 8 minutes
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D. 10 minutes

Correct Answer: Option D


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