P, Q, and R start their journeys at 8 am, 9 am, and 10 am respectively. Their speeds are in the ratio x : 1.25 x : 0.5 x x : 1.25x : 0.5x x : 1.25 x :...

Question

P, Q, and R start their journeys at 8 am, 9 am, and 10 am respectively. Their speeds are in the ratio x:1.25x:0.5xx : 1.25x : 0.5x. After 4 hours from Q's start, Q meets P, and then both start returning to their starting points. If the speed of Q is 4 km/hr4 \text{ km/hr}, what is the distance of Q from its starting point after 5 hours?

Options

A.

20 km20 \text{ km}

B.

5 km5 \text{ km}

C.

15 km15 \text{ km}

D.

12 km12 \text{ km}

E.

8 km8 \text{ km}

speeddistancerelative motionratiotime

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