A boat can row 16 km/h in still water and the speed of the current is 4 km/h. Find the time taken to row 60 km downstream. MCQ with Answer and Explanation

Question

A boat can row 16 km/h in still water and the speed of the current is 4 km/h. Find the time taken to row 60 km downstream.

A. 3.5 hours

B. 2.5 hours

C. 3.0 hours

D. 4.0 hours

Answer: Option C

Solution (By JKSSB Mock Tests)

Downstream speed = 16 + 4 = 20 km/h. Time taken = 60 / 20 = 3 hours.

This question belongs to: Maths Time Speed and Distance

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Question #1

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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. 45 km/h

B. 50 km/h

C. 60 km/h

D. 55 km/h

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Correct Answer: Option B

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

Question #2

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Two trains 100 meters and 150 meters long are running in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time will they cross each other?

A. 10 seconds

B. 9 seconds

C. 12 seconds

D. 11 seconds

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Correct Answer: Option A

Explanation:
Total distance = 100 + 150 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.

This question belongs to: Maths Time Speed and Distance