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Points A and B are 60km apart. A bus starts from A and another from B at the same time. If they go in the same direction they meet in 6 hours and if they go in opposite direction they meet in 2 hours. The speed of the bus with greater speed is:
10 km/hr
20 km/hr
30 km/hr
40 km/hr
Let their speeds be x km/hr and y km/hr. When they move in same direction, let them meet at M. Then, AM - BM = AB ∴ 6x - 6y = 60 or x - y = 10 ...(i) When they move in opposite direction, let them meet at N. Then, AN + BN = AB
2x + 2y = 60 or x + y = 30 ...(ii) Solving (i) and (ii) we get x = 20, y = 10.
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