Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other? MCQ with Answer and Explanation
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Question #1
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A train running at 54 km/h crosses a bridge 150 meters long in 18 seconds. Find the length of the train.
Correct Answer: Option C
Explanation:
Speed = 54 * (5/18) = 15 m/s. Total distance in 18 seconds = 15 * 18 = 270 meters. Length of train = 270 - 150 = 120 meters.
Speed = 54 * (5/18) = 15 m/s. Total distance in 18 seconds = 15 * 18 = 270 meters. Length of train = 270 - 150 = 120 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A train running at 72 km/h overtakes a cyclist riding at 12 km/h in the same direction in 12 seconds. Find the length of the train.
Correct Answer: Option B
Explanation:
Relative speed = 72 - 12 = 60 km/h = 60 * (5/18) = 50/3 m/s. Length of train = Relative speed * Time = (50/3) * 12 = 200 meters.
Relative speed = 72 - 12 = 60 km/h = 60 * (5/18) = 50/3 m/s. Length of train = Relative speed * Time = (50/3) * 12 = 200 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A boat rowed downstream covers 40 km in 4 hours and manages 20 km upstream in 4 hours. Find the baseline speed of the boat in still water.
Correct Answer: Option D
Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 4 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 4 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.
This question belongs to:
Maths
Time Speed and Distance
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