A train 100 meters long passes a platform 400 meters long in 25 seconds. Find the speed of the train in km/h. MCQ with Answer and Explanation
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Question #1
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The speed index tracking profile of an express locomotive is exactly 20% higher than a commercial car. Both take off from terminal M together and reach terminal N, 120 km away, at the same instant. On the corridor route, the train logs a total stall of 10 minutes at intermediate stations. Find the car speed.
Correct Answer: Option C
Explanation:
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
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Maths
Time Speed and Distance
Question #2
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Two trains 100 meters and 150 meters long are running in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time will they cross each other?
Correct Answer: Option A
Explanation:
Total distance = 100 + 150 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
Total distance = 100 + 150 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
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Maths
Time Speed and Distance
Question #3
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A thief is spotted by a policeman from a distance of 150 meters. The thief runs at 11 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.
Correct Answer: Option C
Explanation:
Relative speed = 12 - 11 = 1 km/h. Time to catch the thief = 0.15 km / 1 km/h = 0.15 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.15 hours = 1.65 km = 1650 meters.
Relative speed = 12 - 11 = 1 km/h. Time to catch the thief = 0.15 km / 1 km/h = 0.15 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.15 hours = 1.65 km = 1650 meters.
This question belongs to:
Maths
Time Speed and Distance
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