A train 150 meters long is running at 72 km/h. How long will it take to completely pass a platform of length 250 meters? MCQ with Answer and Explanation
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Question #1
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A train 160 meters long passes a platform of length 340 meters in 25 seconds. Find the absolute speed of the train in km/h.
Correct Answer: Option C
Explanation:
Total distance = 160 + 340 = 500 meters. Speed = 500 / 25 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
Total distance = 160 + 340 = 500 meters. Speed = 500 / 25 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A car traveling at a uniform speed covers 300 km. If the speed had been 10 km/h more, it would have taken 1 hour less. Find the initial speed.
Correct Answer: Option C
Explanation:
Let original speed be s. 300 / s - 300 / (s + 10) = 1 => 300(10) = s(s + 10) => 3000 = s(s + 10). Solving s^2 + 10s - 3000 = 0 gives (s - 50)(s + 60) = 0. Since speed is positive, s = 50 km/h.
Let original speed be s. 300 / s - 300 / (s + 10) = 1 => 300(10) = s(s + 10) => 3000 = s(s + 10). Solving s^2 + 10s - 3000 = 0 gives (s - 50)(s + 60) = 0. Since speed is positive, s = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A man rows upstream 13 km and downstream 28 km, taking 5 hours each time. Find the speed of the stream.
Correct Answer: Option D
Explanation:
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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