Question

In an 800 metre race P got a head start of 100 metres. If Q beats P by 100 metres. Find the ratio of the speed of P and Q?

Answer 1

Step-by-step explanation:

Its 20 m.

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers (4/3)*360 = 480 m.

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

A wins by 20 m.

Answer 2

Answer:

Ratio of speeds are $3:4$.

Step-by-step explanation:

It is given that in an $800$ meter race P got a head start of $100$ meters.

Hence, P will have to cover $700m$.

Q need to cover $800m$.

Also, Q beats P by $100$ meters.

So,  by the time Q covers $800m$, P covers $600m$.

As Speed is directly proportional to distance.

Hence Ratio of speeds are $600:800$

$=6:8$

$=3:4$

Ratio of speeds are $3:4$.

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