Question
Two Stations A and B are 950 km apart. A train leaves
station A from station B and at the same time another train leaves station B to A. Both the trains meet 10 hours after they start moving. If the train starts from station A is 15 km/hr faster than the other one, then find the ratio between the speeds of both the trains?Solution
Let the speed of the first train be x and that of the second train be y, Then, x – y = 15 —> (i) Time = Distance/Speed 10 = 950/(x + y) x + y = 950/10 x + y = 95 —-> (ii) By solving the equation (i) and (ii), we get, 2x= 110 X = 55 km/hr, y = 40 km/hr Required ratio = 55 : 40 = 11 : 8
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