Exams › SSC CGL (Prelims) › General

Two motorcycles, M and N, start from points 480 km apart. They travel at constant speeds. If they move towards each other, they meet in 5 hours. If they move in the same direction, they meet in 15 hours. What is the speed of motorcycle M? (Assume M is the faster motorcycle)

1. 55 km/h
2. 64 km/h
3. 70 km/h
4. 80 km/h

Correct answer: 64 km/h

Solution

When they move towards each other, the sum of speeds is 480/5 = 96 km/h. When they move in the same direction, the difference of speeds is 480/15 = 32 km/h. Solving M + N = 96 and M - N = 32 gives M = 64 km/h.

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