Question

An athlete at the Olympic game runs at constant speed and covers the 100 yard dash in 9.52s. What will be his time for 100metre distance running at the same speed?

Answer 1

Time taken to cover 100 m is 10.42 s.

Step-by-step explanation:

Given:

Old distance covered,
`d_(old)=100` yd.

Time taken is,
`t_(old)=9.52` s

Constant speed is given as:

`speed=\frac{\textrm{Old Distance}}{\textrm{Time}}=(100)/(9.52)=10.5` yd/s

Distance covered now,
`d_(new)=100` m.

We need to convert meter to yard.

We have, 1 m = 1.0936 yards

New distance in yards is,
`d_(new)=1.0936 * 100=109.36\textrm{ yd}`

Speed = 10.5 yd/s.

Therefore, time taken to cover 109.36 yards is given as:

`t_(new)=(d_(new))/(speed)\\t_(new)=(109.36)/(10.5)=10.415\approx10.42\textrm{ s}`

Therefore, he takes 10.42 s to cover 100 m running at same speed.