A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water. MCQ with Answer and Explanation

A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water.
A. 8 km/h
B. 7 km/h
C. 9 km/h
D. 10 km/h
Answer: Option A
Solution (By JKSSB Mock Tests)
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 18 / 3 = 6 km/h. Speed in still water = (10 + 6) / 2 = 8 km/h.

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Practice More Time Speed and Distance Questions

Question #1
A train passes a static observer in 6 seconds and a platform 160 meters long in 14 seconds. Find the length of the train.
A. 140 meters
B. 150 meters
C. 120 meters
D. 100 meters

Correct Answer: Option C


Explanation:
Time to cross the platform distance alone = 14 - 6 = 8 seconds. Speed of train = 160 / 8 = 20 m/s. Length of train = Speed * Time to pass observer = 20 * 6 = 120 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A cyclist tracks a sector distance of 24 km at a certain speed. If he drops his pace by 2 km/h, he takes 1 hour more to cover the route. Find his baseline speed.
A. 8 km/h
B. 12 km/h
C. 10 km/h
D. 6 km/h

Correct Answer: Option A


Explanation:
Let original speed be s. 24 / (s - 2) - 24 / s = 1 => 24(2) = s(s - 2) => 48 = s(s - 2). Solving s^2 - 2s - 48 = 0 yields (s - 8)(s + 6) = 0. Since speed must be positive, s = 8 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A commercial van covers 1/3 of a route sector distance at 20 km/h, 1/3 at 40 km/h and the final 1/3 segment at 40 km/h. Find the mean average speed.
A. 28 km/h
B. 30 km/h
C. 34 km/h
D. 32 km/h

Correct Answer: Option B


Explanation:
Let each third segment distance be 40 km. Total sector distance = 120 km. Total time = 40/20 + 40/40 + 40/40 = 2 + 1 + 1 = 4 hours. Average speed across route = 120 / 4 = 30 km/h.

This question belongs to: Maths Time Speed and Distance