A boatman rows 20 km downstream in 2 hours and covers the same distance upstream in 4 hours. Find the speed of the boat in still water. MCQ with Answer and Explanation
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Question #1
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A car runs at 60 km/h for 2 hours and then at 40 km/h for another 3 hours. Find the average speed of the car for the entire journey.
Correct Answer: Option A
Explanation:
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.
Distance 1 = 60 * 2 = 120 km. Distance 2 = 40 * 3 = 120 km. Total distance = 240 km. Total time = 2 + 3 = 5 hours. Average speed = 240 / 5 = 48 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person runs around a square track of side 60 meters. If his speed is 12 km/h, how much time does he take to complete one round?
Correct Answer: Option A
Explanation:
Perimeter of the track = 4 * 60 = 240 meters. Speed = 12 km/h = 12 * (5/18) = 10/3 m/s. Time required = Distance / Speed = 240 / (10/3) = 240 * 3 / 10 = 72 seconds.
Perimeter of the track = 4 * 60 = 240 meters. Speed = 12 km/h = 12 * (5/18) = 10/3 m/s. Time required = Distance / Speed = 240 / (10/3) = 240 * 3 / 10 = 72 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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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.
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.
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
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