Question
Download Solution PDFThe train is 130m long and traveling at 45 km/hr can cross in 30 sec. What is the length of the bridge?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of train = 130 m
Speed of train = 45 km/hr
Time to cross = 30 sec
Formula used:
Speed = Distance / Time
Distance = Length of train + Length of bridge
Calculation:
Convert speed to m/sec: 45 km/hr = 45 × (1000/3600) m/sec
⇒ 45 × (5/18) m/sec
⇒ 225/18 m/sec
⇒ 12.5 m/sec
Distance = Speed × Time
⇒ 12.5 × 30 m
⇒ 375 m
Distance = Length of train + Length of bridge
⇒ 375 = 130 + Length of bridge
⇒ Length of bridge = 375 - 130
⇒ Length of bridge = 245 m
∴ The length of the bridge is 245 m.
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