The speed of a train is 25% more than the speed of a car. Both start from city P at the same time and reach city Q, 150 km away, at the same time. On the way, the train stops for 15 minutes at various stations. What is the speed of the car? MCQ with Answer and Explanation
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Question #1
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Two express trains 200 meters and 150 meters long are moving in the same direction at 72 km/h and 54 km/h respectively. Find the time taken by the faster train to cross the slower train completely.
Correct Answer: Option B
Explanation:
Total distance = 200 + 150 = 350 meters. Relative speed in same direction = 72 - 54 = 18 km/h = 5 m/s. Time taken = 350 / 5 = 70 seconds.
Total distance = 200 + 150 = 350 meters. Relative speed in same direction = 72 - 54 = 18 km/h = 5 m/s. Time taken = 350 / 5 = 70 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A man can row 9 km/h in still water and he finds that it takes him twice as much time to row up than to row down the same distance. Find the speed of the current.
Correct Answer: Option B
Explanation:
Let speed of current be c. Downstream speed = 9 + c, Upstream speed = 9 - c. Since time is twice for upstream, speed must be half: 9 - c = (9 + c) / 2 => 18 - 2c = 9 + c => 3c = 9 => c = 3 km/h.
Let speed of current be c. Downstream speed = 9 + c, Upstream speed = 9 - c. Since time is twice for upstream, speed must be half: 9 - c = (9 + c) / 2 => 18 - 2c = 9 + c => 3c = 9 => c = 3 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat crew row a boat 36 km downstream in 4 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.
Correct Answer: Option C
Explanation:
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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