An athlete runs a $200 m e t r e s$ race in $24 s e c o n d s$ . What is his speed in $k m / h r$ ?

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Solution

STEP 1 : Finding the speed of an athlete in metres per second
$S p e e d = \frac{D i s \tan c e t r a v e l l e d}{T i m e t a k e n}$
Speed of the athlete $= \frac{200}{24} = \frac{25}{3} m / s$
Step 2 : Converting the speed of athlete from $m / s$ to $k m / h r$
We know that,
$1 m / s = \frac{18}{5} k m / h r$
$\Rightarrow \frac{25}{3} m / s = \frac{25}{3} \times \frac{18}{5} k m / h r$
$\Rightarrow \frac{25}{3} \times \frac{18}{5} = 5 \times 6 = 30 k m / h r$
Hence, the speed of an athlete who runs a $200 m e t r e s$ race in $24 s e c o n d s$ is $30 k m / h r$ .

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