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### Question

Bus X travels 50% faster than bus Y. They start together and meet at the same time after travelling a distance of 24km. What is the speed of the bus X, if the bus Y wasted 2 hours during its journey?

**A**

4 kmph.

**B**

5 kmph.

**C**

3 kmph.

**D**

6 kmph.

**Soln.**

**Ans: a**

Let the speed of bus X be x, and of Y be 3x/2. The difference in the times taken by them is $24/x - 24/({3x}/2)$ = 2, which becomes 24 × $1/{3x}$ = 2. Solving, we get x = 4 km/h.