A boat can row 13 km/h in still water and the speed of the current is 3 km/h. Find the time taken to row 48 km downstream. MCQ with Answer and Explanation
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Question #1
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A boat can row 12 km/h in still water. If the current marks 3 km/h, find the distance covered downstream by the boat in exactly 40 minutes.
Correct Answer: Option A
Explanation:
Downstream speed = 12 + 3 = 15 km/h. Time = 40 minutes = 40/60 = 2/3 hours. Distance = Speed * Time = 15 * (2/3) = 10 km.
Downstream speed = 12 + 3 = 15 km/h. Time = 40 minutes = 40/60 = 2/3 hours. Distance = Speed * Time = 15 * (2/3) = 10 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed tracking profile of an express train is exactly 25% higher than a commercial car. Both take off from terminal A together and reach terminal B, 200 km away, at the same instant. On the corridor route, the train logs a total stall of 20 minutes at checkpoints. Find the car speed.
Correct Answer: Option D
Explanation:
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.
Let car speed be c, then train tracking speed is 1.25c. Time difference parameter = 200/c - 200/(1.25c) = 20/60 hours = 1/3 hours. 200/c * (1 - 1/1.25) = 1/3 => 200/c * (0.25/1.25) = 1/3 => 200/c * (1/5) = 1/3 => 40/c = 1/3 => c = 120 km/h.
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Maths
Time Speed and Distance
Question #3
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The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?
Correct Answer: Option C
Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
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