A train 250 meters long takes 30 seconds to cross a man running at 6 km/h in the opposite direction. Find the speed of the train. MCQ with Answer and Explanation
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Question #1
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A distance of 600 km is covered by a passenger train in 12 hours. If the speed of an express train is 20 km/h more than that of the passenger train, how much less time will the express train take to cover the same distance?
Correct Answer: Option A
Explanation:
Speed of passenger train = 600 / 12 = 50 km/h. Speed of express train = 50 + 20 = 70 km/h. Time taken by express train = 600 / 70 = 8.57 hours (approx 8 hours 34 minutes). Time saved = 12 - 8.57 = 3.43 hours.
Speed of passenger train = 600 / 12 = 50 km/h. Speed of express train = 50 + 20 = 70 km/h. Time taken by express train = 600 / 70 = 8.57 hours (approx 8 hours 34 minutes). Time saved = 12 - 8.57 = 3.43 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train 120 meters long passes a signal pole in 6 seconds. Find the time it takes to completely cross a platform 240 meters long.
Correct Answer: Option D
Explanation:
Speed of train = 120 / 6 = 20 m/s. Total distance to pass platform = 120 + 240 = 360 meters. Time required = 360 / 20 = 18 seconds.
Speed of train = 120 / 6 = 20 m/s. Total distance to pass platform = 120 + 240 = 360 meters. Time required = 360 / 20 = 18 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A swimmer registers 12 km upstream and 24 km downstream, taking 3 hours for each leg of the trials. Find the speed of the current stream.
Correct Answer: Option C
Explanation:
Upstream speed = 12 / 3 = 4 km/h. Downstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (8 - 4) / 2 = 4 / 2 = 2 km/h.
Upstream speed = 12 / 3 = 4 km/h. Downstream speed = 24 / 3 = 8 km/h. Speed of current = (Downstream speed - Upstream speed) / 2 = (8 - 4) / 2 = 4 / 2 = 2 km/h.
This question belongs to:
Maths
Time Speed and Distance
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