Question

A cyclist travels from town P to town Q at 12 km/h and returns from Q to P by the same route at a speed which is 25% higher. Due to the increase in speed on the return journey, he takes 1 hour less for the entire trip than he would have taken if he had travelled at 12 km/h both ways. What is the distance between P and Q?

Q: Answer-A cyclist travels from town P to town Q at 12 km/h and returns from Q to P by the same route at a sp...

ATQ, Let distance d km. Time if speed is 12 kmh both ways 2d12 d6 hours. Actual speeds PQ 12 kmh time d12 QP 25 more 12 1.25 15 kmh time d15 Actual total time d12 d15 5d 4d60 9d60 3d20 Given 3d20 d6 1 Multiply by 60 9d 10d 60 d 60 km.

A 60 km

B 80 km

C 40 km

D 50 km

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