An athlete takes as much time in running 200 m as a car takes in covering 500 m. The distance covered by the athlete during the time the car covers 2 km is
Let the speed of the athlete be $v_a$ and the speed of the car be $v_c$.
Given time is equal:
$\dfrac{200}{v_a} = \dfrac{500}{v_c}$
$\Rightarrow \dfrac{v_a}{v_c} = \dfrac{200}{500} = \dfrac{2}{5}$
So, the athlete’s speed is $\dfrac{2}{5}$ of the car’s speed.
When the car covers $2$ km $= 2000$ m,
distance covered by the athlete
$= \dfrac{2}{5} \times 2000 = 800$ m
[{"qus_id":"16651","year":"2023"}]
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