Question
A and B are travelling towards each other with a speed
of 80 km/hr and 90 km/hr. If they started at same time and A covered 27 km less distance than B before meeting him, then find the distance between them before starting.Solution
Since, the time taken by A and B is same, therefore the ratio of the distance covered by them will be equal to the ratio of their speeds. Therefore, ratio of the distance covered by A and B = 80:90 = 8:9 Let the distance covered by A and B be 9x km and 8x km According to the question, 9x – 8x = 27 Or, x = 27 Therefore, distance between them before starting = 9x + 8x = 17x = 459 km
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