Question
Trains 'M' and 'N' travel at speeds of 72 km/h and 90
km/h, respectively. It takes train 'M' 32 seconds to pass a certain platform, while train 'N' requires only 24 seconds to cross the same platform. Determine the length ratio of train 'M' to train 'N'.Solution
Let the length of the platform be ‘x’ metres Let the length of trains ‘M’ and ‘N’ be ‘a’ metres and ‘b’ metres, respectively According to the question, 72 × 5/18 = (x + a)/32 20 × 32 = x + a Or, x + a = 640 Or, x = 640 – a.….. (1) Also, 90 × 5/18 = (x + b)/24 25 × 24 = x + b Or, x + b = 600 Or, x = 600 – b…… (2) From equations (1) and (2), we get 640 – a = 600 – b Or, a – b = 40 Therefore, required ratio cannot be determined. Hence, option d.
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