Disha can run 1 km in 2 minutes 30 seconds and Amisha can cover the same distance in 2 minutes 40 seconds. Disha can beat Amisha by distance ___________ . |
65.5 m 64.5 m 63.5 m 62.5 m |
62.5 m |
$\text{Distance}=1\text{ km}=1000\text{ m}.$ $\text{Time taken by Disha}=2\text{ min }30\text{ s}=150\text{ s}.$ $\text{Time taken by Amisha}=2\text{ min }40\text{ s}=160\text{ s}.$ $\text{Speed of Disha}=\frac{1000}{150}=\frac{20}{3}\text{ m/s}.$ $\text{Speed of Amisha}=\frac{1000}{160}=\frac{25}{4}\text{ m/s}.$ $\text{Distance covered by Amisha in }150\text{ s}=\frac{25}{4}\times150=937.5\text{ m}.$ $\text{Distance by which Disha beats Amisha}=1000-937.5=62.5\text{ m}.$ $\text{Disha beats Amisha by }62.5\text{ m}.$ |