Question
A and B are travelling towards each other with a speed of 20 km/hr and 30 km/hr. If they started at same time and A covered 18 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 = 20:30 = 2:3 Let the distance covered by A and B be 2x km and 3x km According to the question, 3x – 2x = 18 Or, x = 18 Therefore, distance between them before starting = 2x + 3x = 5x = 90 km
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