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Let speed of train ‘A’ is ‘x’ km/h
So, Speed of train ‘B’ = ‘x + 72’ km/h
Let time taken by train ‘A’ to cover the whole distance is ‘t + 9’ hours
So, time taken by train ‘B’ to cover the whole distance = ‘t’ hours
So, x(t + 9) = (x + 72) × t
Or, x = 8t
And, x(t + 9) = 1520
Or, 8t(t + 9) = 1520
Or, t 2 + 9t – 190 = 0
Or, (t + 19)(t – 10) = 0
Or, t = 10
So, time taken by train ‘B’ to cover the whole distance = 10 hours
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