Question
Download Solution PDFTwo trains of equal length are running on parallel lines in the same direction at speeds of 90 km/h and 51 km/h. The faster train passes the slower train in 36 seconds. The length of each train is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of faster train = 90 km/h
Speed of slower train = 51 km/h
Time to cross = 36 seconds
Trains are of equal length and moving in the same direction
Formula used:
Relative Speed = (Speed₁ - Speed₂)
Distance = Relative Speed × Time
Length of each train = (Distance ÷ 2)
Calculation:
⇒ Relative Speed = 90 - 51 = 39 km/h
⇒ 39 km/h = 39 × (1000 ÷ 3600) = 10.83 m/s
⇒ Distance = 10.83 × 36 = 389.88 m
⇒ Length of each train = 389.88 ÷ 2 ≈ 194.94 m
∴ The length of each train is approximately 195 metres.
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