Question
Download Solution PDFA train of length 800 m which travels at a speed of 126 kmph crosses a Tunnel in 61 seconds. Find the length of the Tunnel? (In metres)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of the train = 800 m
Speed of the train = 126 kmph
Time to cross the tunnel = 61 seconds
Formula Used:
Total Distance = Length of the train + Length of the tunnel
Speed = Distance / Time
Calculation:
Convert speed to m/s: Speed = 126 × (1000 / 3600)
⇒ Speed = 126 × (10 / 36)
⇒ Speed = 35 m/s
Distance covered in 61 seconds: Distance = Speed × Time
⇒ Distance = 35 × 61
⇒ Distance = 2135 m
Length of the tunnel = Distance - Length of the train
⇒ Length of the tunnel = 2135 - 800
⇒ Length of the tunnel = 1335 m
The length of the tunnel is 1335 m.
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