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? MCQ with Answer and Explanation

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. 14 km
B. 15 km
C. 10 km
D. 12 km
Answer: Option D
Solution (By JKSSB Mock Tests)
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.

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Practice More Time Speed and Distance Questions

Question #1
A train passes a 110-meter long bridge in 12 seconds and a standard sign post in 7 seconds. Find the length of the train.
A. 160 meters
B. 154 meters
C. 140 meters
D. 175 meters

Correct Answer: Option B


Explanation:
Time taken to cross the bridge alone = 12 - 7 = 5 seconds. Speed of train = 110 / 5 = 22 m/s. Length of train = Speed * Time to cross sign post = 22 * 7 = 154 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A boat crew rows 30 km upstream and 50 km downstream, taking exactly 5 hours for each independent passage. Find the speed of the current stream.
A. 1.5 km/h
B. 2.5 km/h
C. 2 km/h
D. 3 km/h

Correct Answer: Option C


Explanation:
Upstream speed = 30 / 5 = 6 km/h. Downstream speed = 50 / 5 = 10 km/h. Speed of current stream = (Downstream speed - Upstream speed) / 2 = (10 - 6) / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A car covered a distance of 400 km at a uniform speed. If the uniform speed index is lowered by 10 km/h, the journey takes 2 hours longer. Find the original speed.
A. 50 km/h
B. 55 km/h
C. 60 km/h
D. 45 km/h

Correct Answer: Option A


Explanation:
Let original speed be s. 400 / (s - 10) - 400 / s = 2 => 200 / (s - 10) - 200 / s = 1 => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 yields (s - 50)(s + 40) = 0. Original speed = 50 km/h.

This question belongs to: Maths Time Speed and Distance