The speeds of two running trains are in the ratio 7 : 9. Moving along parallel tracks in opposite directions, they take 4 seconds each to cross a telegraph post. Find the time taken by them to cross each other completely. 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 D
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 boat covers 24 km downstream in 2 hours and the same distance upstream in 4 hours. Find the speed of the stream.
Correct Answer: Option A
Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of stream = (12 - 6) / 2 = 3 km/h.
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 4 = 6 km/h. Speed of stream = (12 - 6) / 2 = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A person walks from his house to office at 5 km/h and arrives 12 minutes late. If he walks at 6 km/h, he arrives 2 minutes late. Find the distance.
Correct Answer: Option C
Explanation:
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.
Time difference = 12 - 2 = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d / 5 - d / 6 = 1/6 => d / 30 = 1/6 => d = 5 km.
This question belongs to:
Maths
Time Speed and Distance
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