In a 500 metres race, the ratio of speeds of two participants Meena and Kamal is 4:5 respectively. If Meena has a start of 200 metres, find the distance by which Meena wins.

125 metres

The correct answer is Option (2) → 125 metres **

Speeds ratio (Meena : Kamal) = $4:5$

Let Meena’s speed = $4k$ and Kamal’s speed = $5k$.

Meena gets a start of $200$ m, so she runs only:

$500 - 200 = 300$ m

Time taken by Meena = $\frac{300}{4k}$

In the same time, distance covered by Kamal = $5k \cdot \frac{300}{4k} = \frac{1500}{4} = 375$ m

Total race distance = $500$ m

Distance by which Meena wins = $500 - 375 = 125$ m

Meena wins the race by 125 metres.