A boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream. MCQ with Answer and Explanation

A boatman rows 1 km in 5 minutes along the stream and 1 km in 12 minutes against the stream. Find the speed of the stream.
A. 4.5 km/h
B. 3.5 km/h
C. 5 km/h
D. 4 km/h
Answer: Option B
Solution (By JKExamLibrary)
Downstream speed = 1 km / (5/60 hours) = 12 km/h. Upstream speed = 1 km / (12/60 hours) = 5 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (12 - 5) / 2 = 3.5 km/h.

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 10 km/h in still water. If the river current tracks at 2 km/h, it takes him 2.5 hours to row to a point and back. How far is the point?
A. 10 km
B. 15 km
C. 12 km
D. 14 km

Correct Answer: Option C


Explanation:
Downstream speed = 10 + 2 = 12 km/h. Upstream speed = 10 - 2 = 8 km/h. Let distance be d. d / 12 + d / 8 = 2.5 => 5d / 24 = 2.5 => 5d = 60 => d = 12 km.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A person can row 10 km/h in still water. If the speed of the river current is 3 km/h, find the time taken to row 28 km upstream.
A. 5 hours
B. 6 hours
C. 3 hours
D. 4 hours

Correct Answer: Option D


Explanation:
Upstream speed = 10 - 3 = 7 km/h. Time taken = 28 / 7 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A bus runs at 40 km/h for 2 hours and 50 km/h for the next 3 hours. Find the average speed of the bus for the total journey.
A. 45 km/h
B. 46 km/h
C. 47 km/h
D. 48 km/h

Correct Answer: Option B


Explanation:
Distance 1 = 40 * 2 = 80 km. Distance 2 = 50 * 3 = 150 km. Total distance = 230 km. Total time = 2 + 3 = 5 hours. Average speed = 230 / 5 = 46 km/h.

This question belongs to: Maths Time Speed and Distance