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Let the length and speed of train be ‘l’ metres and ‘x’ m/s, respectively.
Then, according to question,
(l + 500)/30 = (l + 600)/42
7l + 3500 = 5l + 3000
l = 250
l = 250 metres
x = (l + 500)/30 = 750/30 = 25 m/s = 25×(18/5) = 90 km/h
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