A person rows 24 km downstream in 3 hours and covers the same distance upstream in 6 hours. What is the speed of the boat in still water. MCQ with Answer and Explanation

A person rows 24 km downstream in 3 hours and covers the same distance upstream in 6 hours. What is the speed of the boat in still water.

A. 6 km/h

B. 7 km/h

C. 5 km/h

D. 8 km/h

Answer: Option A

Downstream speed = 24 / 3 = 8 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed in still water = (8 + 4) / 2 = 6 km/h.

This question belongs to: Maths Time Speed and Distance

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Question #1 Report Error

A cargo train running at 64 km/h overtakes a cyclist riding at 10 km/h in the same direction in 10 seconds. Find the length of the train.

A. 160 meters

B. 180 meters

C. 150 meters

D. 140 meters

Correct Answer: Option C

Explanation:
Relative speed = 64 - 10 = 54 km/h = 54 * (5/18) = 15 m/s. Length of train = Relative speed * Time = 15 * 10 = 150 meters.

This question belongs to: Maths Time Speed and Distance

Question #2 Report Error

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. 7.5 km/h

B. 8.5 km/h

C. 8.0 km/h

D. 7.0 km/h

Correct Answer: Option A

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 #3 Report Error

A motorboat covers 24 km downstream in 1.5 hours and covers the same distance upstream in 3 hours. Find the speed of the boat in still water.

A. 14 km/h

B. 10 km/h

C. 12 km/h

D. 15 km/h

Correct Answer: Option C

Explanation:
Downstream speed = 24 / 1.5 = 16 km/h. Upstream speed = 24 / 3 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance