Question
Train 'P' leaves Pune for Nagpur at 6:00 a.m. At 8:00 a.m.,
another train 'Q' departs from Nagpur to Pune at 55 km/h. Both trains meet at 1:00 p.m. If the distance between Pune and Nagpur is 620 km, what is the speed of train 'P'?Solution
ATQ,
Let the speed of train 'P' be 'x' km/h
Distance covered by train 'P' alone = 2 × x = 2x km
Time both trains travelled together = 5 hours
ATQ;
5 × (55 + x) = 620 - 2x
Or, 275 + 5x = 620 - 2x
Or, 345 = 7x
So, x = 49.29
So, speed of train 'P' = 49.29 km/h
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