The speeds of two cars are in the ratio 5 : 3. If they cover the same total distance, and the slower car takes 2.5 hours, how much time does the faster car take? MCQ with Answer and Explanation
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Question #1
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A contract courier can travel at 40 km/h to deliver a package on time. If he travels at 30 km/h, he is late by 2 hours. What is the distance he has to cover?
Correct Answer: Option C
Explanation:
Let the distance be d. Time difference = 2 hours. d/30 - d/40 = 2 => (4d - 3d) / 120 = 2 => d / 120 = 2 => d = 240 km.
Let the distance be d. Time difference = 2 hours. d/30 - d/40 = 2 => (4d - 3d) / 120 = 2 => d / 120 = 2 => d = 240 km.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A runner covers a 400-meter track. The winner finishes in 40 seconds, while the runner-up takes 44 seconds. By what distance does the winner beat the runner-up?
Correct Answer: Option D
Explanation:
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.
Speed of runner-up = 400 / 44 = 100 / 11 m/s. Distance covered by runner-up in 40 seconds = (100 / 11) * 40 = 4000 / 11 = 363.63 meters. Winning margin = 400 - 363.63 = 36.36 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train 120 meters long passing a warehouse platform 280 meters long takes exactly 20 seconds. Find the velocity index of the train in km/h.
Correct Answer: Option B
Explanation:
Total distance = 120 + 280 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Total distance = 120 + 280 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
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