A motorboat travels 24 km downstream in 2 hours and covers the same distance upstream in 3 hours. Find the speed of the current. MCQ with Answer and Explanation
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Question #1
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A person wins a 100m race by completing it in 12 seconds. The runner-up takes 12.5 seconds. By how many meters did the winner beat the runner-up?
Correct Answer: Option A
Explanation:
Speed of runner-up = 100 / 12.5 = 8 m/s. When the winner crosses the finish line at 12 seconds, the distance covered by runner-up = 8 * 12 = 96 meters. Distance by which he lost = 100 - 96 = 5 meters.
Speed of runner-up = 100 / 12.5 = 8 m/s. When the winner crosses the finish line at 12 seconds, the distance covered by runner-up = 8 * 12 = 96 meters. Distance by which he lost = 100 - 96 = 5 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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In a 1000m race, A beats B by 100m and B beats C by 100m. By how many meters does A beat C in the same race?
Correct Answer: Option D
Explanation:
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 900m. So when B covers 900m, C covers 900 * (900/1000) = 810m. Therefore, when A covers 1000m, C covers 810m. A beats C by 1000 - 810 = 190m.
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 900m. So when B covers 900m, C covers 900 * (900/1000) = 810m. Therefore, when A covers 1000m, C covers 810m. A beats C by 1000 - 810 = 190m.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A student walks from his quarter block to the academy center at 4 km/h and arrives 8 minutes late. If he manages a pace of 5 km/h, he arrives 4 minutes early. Find the track distance.
Correct Answer: Option A
Explanation:
Time difference = 8 - (-4) = 12 minutes = 10/60 = 1/5 hours. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
Time difference = 8 - (-4) = 12 minutes = 10/60 = 1/5 hours. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
This question belongs to:
Maths
Time Speed and Distance
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