The speed of a train is 75 km/h, it crosses a tunnel in 75 seconds and overtakes a person walking at a speed of 5 km/h, in the same direction, in 27 seconds. The length (in meter) of the tunnel is:
Answer & explanation
Correct answer: option 3
Distance = Speed × Time
54 km/h × \(\frac{5}{18}\) = 15 m/sec
length of (Train + Tunnel) = 15 × 75 = 1125 m
length of (Train + Tunnel) = 1125 m
Relative speed of Train and man = (75 - 5) km/hr
Length of Train = (75 - 5) × \(\frac{5}{18}\) × 27 = 525 m
Length of Tunnel = 1125 - 525 = 600 m