A motorboat travels 24 km downstream in 2 hours and covers the same distance upstream in 3 hours. Find the speed of the current. MCQ with Answer and Explanation

A motorboat travels 24 km downstream in 2 hours and covers the same distance upstream in 3 hours. Find the speed of the current.
A. 3 km/h
B. 2.5 km/h
C. 1.5 km/h
D. 2 km/h
Answer: Option D
Solution (By JKSSB Mock Tests)
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (12 - 8) / 2 = 2 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A delivery sedan logs a trip of 240 km at an average speed of 60 km/h. It travels the first 120 km at 40 km/h. Find the speed for the remaining 120 km.
A. 120 km/h
B. 150 km/h
C. 140 km/h
D. 75 km/h

Correct Answer: Option A


Explanation:
Total time for full trip = 240 / 60 = 4 hours. Time spent on first 120 km = 120 / 40 = 3 hours. Remaining time for the last 120 km = 4 - 3 = 1 hour. Required speed = 120 km / 1 hour = 120 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A passenger train 140 meters long passes an active bridge platform 310 meters long in 20 seconds. What is the speed of the train in km/h?
A. 81 km/h
B. 75 km/h
C. 85 km/h
D. 90 km/h

Correct Answer: Option A


Explanation:
Total distance = 140 + 310 = 450 meters. Speed = 450 / 20 = 22.5 m/s. In km/h = 22.5 * (18/5) = 4.5 * 18 = 81 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed.
A. 140 km/h
B. 100 km/h
C. 150 km/h
D. 120 km/h

Correct Answer: Option D


Explanation:
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.

This question belongs to: Maths Time Speed and Distance