A boat can row 10 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 24 km upstream. MCQ with Answer and Explanation

A boat can row 10 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 24 km upstream.
A. 3.5 hours
B. 4.0 hours
C. 2.5 hours
D. 3.0 hours
Answer: Option D
Solution (By JKExamLibrary)
Upstream speed = 10 - 2 = 8 km/h. Time taken = 24 / 8 = 3 hours.

This question belongs to: Maths Time Speed and Distance

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Question #1 Report Error
A person can row 10 km/h in still water. If it takes him exactly twice as long to row upstream as to row downstream over the same stretch, find the speed of the current.
A. 3.03 km/h
B. 3.33 km/h
C. 3.66 km/h
D. 4.00 km/h

Correct Answer: Option B


Explanation:
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A boatman rows 24 km downstream and 12 km upstream, taking 2 hours for each leg of the journey. Find the speed of the boat in still water.
A. 10 km/h
B. 8 km/h
C. 9 km/h
D. 11 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 12 / 2 = 6 km/h. Speed in still water = (12 + 6) / 2 = 9 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A car traveling at a uniform speed covers 300 km. If the speed had been 10 km/h more, it would have taken 1 hour less. Find the initial speed.
A. 50 km/h
B. 55 km/h
C. 45 km/h
D. 60 km/h

Correct Answer: Option A


Explanation:
Let original speed be s. 300 / s - 300 / (s + 10) = 1 => 300(10) = s(s + 10) => 3000 = s(s + 10). Solving s^2 + 10s - 3000 = 0 gives (s - 50)(s + 60) = 0. Since speed is positive, s = 50 km/h.

This question belongs to: Maths Time Speed and Distance