A train traveling at 60 km/h overtakes a motor cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train. MCQ with Answer and Explanation
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Question #1
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A stream flows at 3 km/h. A boat can row 9 km/h in still water. How much time does it take to go 24 km downstream and return upstream to the starting point?
Correct Answer: Option B
Explanation:
Downstream speed = 9 + 3 = 12 km/h. Upstream speed = 9 - 3 = 6 km/h. Time taken = 24/12 + 24/6 = 2 + 4 = 6 hours.
Downstream speed = 9 + 3 = 12 km/h. Upstream speed = 9 - 3 = 6 km/h. Time taken = 24/12 + 24/6 = 2 + 4 = 6 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train 150 meters long is tracking at a speed of 72 km/h. How long will it take to pass a bridge 250 meters long?
Correct Answer: Option C
Explanation:
Total distance = 150 + 250 = 400 meters. Speed = 72 * (5/18) = 20 m/s. Time taken = 400 / 20 = 20 seconds.
Total distance = 150 + 250 = 400 meters. Speed = 72 * (5/18) = 20 m/s. Time taken = 400 / 20 = 20 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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The speeds of two cars are in the ratio 4 : 3. If they cover the same distance, and the slower car takes 2 hours, how much time does the faster car take?
Correct Answer: Option C
Explanation:
Ratio of speeds = 4:3, so ratio of times taken = 3:4. The slower car corresponds to 4 parts = 2 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.
Ratio of speeds = 4:3, so ratio of times taken = 3:4. The slower car corresponds to 4 parts = 2 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.
This question belongs to:
Maths
Time Speed and Distance
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