A boatman rows 15 km downstream in 3 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water? MCQ with Answer and Explanation

A boatman rows 15 km downstream in 3 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water?
A. 3.5 km/h
B. 4.5 km/h
C. 5 km/h
D. 4 km/h
Answer: Option D
Solution (By JKExamLibrary)
Downstream speed = 15 / 3 = 5 km/h. Upstream speed = 12 / 4 = 3 km/h. Speed in still water = (5 + 3) / 2 = 4 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 cyclist covers 600 meters in 2 minutes. What is his speed in km/h?
A. 20 km/h
B. 18 km/h
C. 15 km/h
D. 22 km/h

Correct Answer: Option B


Explanation:
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A train leaves a station at 4:00 PM and travels at an average speed of 60 km/h. Another train leaves the same station at 5:00 PM in the same direction at an average speed of 80 km/h. At what time will the second train catch up with the first train?
A. 7:00 PM
B. 9:00 PM
C. 8:00 PM
D. 8:30 PM

Correct Answer: Option C


Explanation:
By 5:00 PM, the first train has traveled for 1 hour and covered 60 km. Relative speed = 80 - 60 = 20 km/h. Time needed to catch up = 60 / 20 = 3 hours. Catch up time = 5:00 PM + 3 hours = 8:00 PM.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A commuter covers 40% of his total journey distance at 40 km/h and the remaining 60% at 60 km/h. Find his average speed for the whole journey.
A. 48 km/h
B. 52 km/h
C. 50 km/h
D. 54 km/h

Correct Answer: Option C


Explanation:
Let total distance be 100 km. Time for first part = 40 / 40 = 1 hour. Time for second part = 60 / 60 = 1 hour. Total distance = 100 km, Total time = 2 hours. Average speed = 100 / 2 = 50 km/h.

This question belongs to: Maths Time Speed and Distance