A train passes an active signal light in 10 seconds. If the length of the train is 150 meters, find its speed in km/h. MCQ with Answer and Explanation
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Question #1
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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?
Correct Answer: Option A
Explanation:
Let car speed be c, then train speed is 1.25c. Time difference = 150/c - 150/(1.25c) = 15/60 hour = 1/4 hour. 150/c * (1 - 1/1.25) = 1/4 => 150/c * (0.25/1.25) = 1/4 => 150/c * (1/5) = 1/4 => 30/c = 1/4 => c = 120 km/h.
Let car speed be c, then train speed is 1.25c. Time difference = 150/c - 150/(1.25c) = 15/60 hour = 1/4 hour. 150/c * (1 - 1/1.25) = 1/4 => 150/c * (0.25/1.25) = 1/4 => 150/c * (1/5) = 1/4 => 30/c = 1/4 => c = 120 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A person covers a distance of 120 km at 30 km/h and another 180 km at 45 km/h. Find his average speed for the whole journey.
Correct Answer: Option A
Explanation:
Total distance = 120 + 180 = 300 km. Total time taken = 120/30 + 180/45 = 4 + 4 = 8 hours. Average speed = 300 / 8 = 37.5 km/h.
Total distance = 120 + 180 = 300 km. Total time taken = 120/30 + 180/45 = 4 + 4 = 8 hours. Average speed = 300 / 8 = 37.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A train cross a pole in 12 seconds. If the speed of the train is 72 km/h, what is the length of the train?
Correct Answer: Option C
Explanation:
Speed = 72 * (5/18) = 20 m/s. Length = Speed * Time = 20 * 12 = 240 meters.
Speed = 72 * (5/18) = 20 m/s. Length = Speed * Time = 20 * 12 = 240 meters.
This question belongs to:
Maths
Time Speed and Distance
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