A passenger train running at 54 km/h passes through a tunnel 400 meters long in 40 seconds. Find the length of the train. MCQ with Answer and Explanation
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Question #1
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A train passes a standing man in 6 seconds and a 210-meter long platform in 16 seconds. Find the speed of the train.
Correct Answer: Option C
Explanation:
Let length of train be L. Speed = L/6. Also, Speed = (L + 210)/16. Equating them: L/6 = (L+210)/16 => 16L = 6L + 1260 => 10L = 1260 => L = 126 meters. Speed = 126 / 6 = 21 m/s. Speed in km/h = 21 * (18/5) = 378 / 5 = 75.6 km/h.
Let length of train be L. Speed = L/6. Also, Speed = (L + 210)/16. Equating them: L/6 = (L+210)/16 => 16L = 6L + 1260 => 10L = 1260 => L = 126 meters. Speed = 126 / 6 = 21 m/s. Speed in km/h = 21 * (18/5) = 378 / 5 = 75.6 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?
Correct Answer: Option D
Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A person can row 10 km/h in still water. If it takes him exactly twice as long to row upstream as to row downstream over the same stretch, find the speed of the current.
Correct Answer: Option B
Explanation:
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
Let speed of current be c km/h. Downstream speed = 10 + c, Upstream speed = 10 - c. Given: 2 * (10 - c) = 10 + c => 20 - 2c = 10 + c => 3c = 10 => c = 10/3 = 3.33 km/h.
This question belongs to:
Maths
Time Speed and Distance
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