A person can row 8 km/h in still water. He finds that it takes him thrice as long to row upstream as to row downstream. Find the speed of the current. MCQ with Answer and Explanation

A person can row 8 km/h in still water. He finds that it takes him thrice as long to row upstream as to row downstream. Find the speed of the current.
A. 3 km/h
B. 6 km/h
C. 5 km/h
D. 4 km/h
Answer: Option D
Solution (By JKExamLibrary)
Let current speed be c. Upstream speed = 8 - c, Downstream speed = 8 + c. Given: 3 * (8 - c) = 8 + c => 24 - 3c = 8 + c => 4c = 16 => c = 4 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A boat rowed downstream covers 40 km in 4 hours and manages 20 km upstream in 4 hours. Find the baseline speed of the boat in still water.
A. 7.0 km/h
B. 8.5 km/h
C. 7.5 km/h
D. 8.0 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 4 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A passenger express train 160 meters long runs at 72 km/h. How long will it take to clear a terminal platform 240 meters long?
A. 24 seconds
B. 22 seconds
C. 20 seconds
D. 18 seconds

Correct Answer: Option C


Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance = 160 + 240 = 400 meters. Time taken = 400 / 20 = 20 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3
A person has to cover a distance of 160 km. He covers the first half of the distance at 40 km/h. At what speed must he travel the remaining half to make the average speed for the whole journey 50 km/h?
A. 66.67 km/h
B. 75 km/h
C. 60 km/h
D. 70 km/h

Correct Answer: Option A


Explanation:
Let the required speed for the second half be x km/h. Using the average speed formula for equal halves: Average Speed = 2v1*v2 / (v1 + v2) => 50 = (2 * 40 * x) / (40 + x) => 50(40 + x) = 80x => 2000 + 50x = 80x => 30x = 2000 => x = 66.67 km/h.

This question belongs to: Maths Time Speed and Distance