Question
Download Solution PDFIf a train crosses a pole in 15 seconds, how long will it take for the train, travelling at a speed of 90 km/hr, to cross a bridge that is 600 meters long?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of the train = 90 km/hr
Length of the bridge = 600 meters
Time taken to cross the pole = 15 seconds
Formula used:
Speed (in meters/second) = Speed (in km/hr) * (1000/3600)
Time taken to cross the bridge = (Length of train + Length of bridge) / Speed
Calculation:
Speed of the train in meters/second:
⇒ 90 * (1000/3600) = 25 m/s
Length of the train (using the time taken to cross the pole):
⇒ Length of train = Speed * Time = 25 * 15 = 375 meters
Time taken to cross the bridge:
⇒ Time = (Length of train + Length of bridge) / Speed
⇒ Time = (375 + 600) / 25
⇒ Time = 975 / 25
⇒ Time = 39 seconds
∴ The train will take 39 seconds to cross the bridge.
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