Question
The length of train 'R' is 'd' metres and that of train 'S'
is (d + 200) metres. If the speeds of train 'R' and 'S' are 90 km/h and 30 km/h, respectively, and they take 15 seconds to cross each other while travelling in opposite directions, then find the length of train 'R'.Solution
ATQ,
Speed of train 'R' = 90 Γ (5/18) = 25 m/s
Speed of train 'S' = 30 Γ (5/18) = 8.33 m/s
ATQ;
{(200 + 2d)/(25 + 8.33)} = 15
Or, 200 + 2d = 500
Or, 2d = 300
Or, d = 150
So, length of train 'R' = 150 metres
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