Question

In a 1000 m race, Ameesha gives a headstart of 100 m to Bipasha and beats her by 200 m. In the same race, Ameesha gives a headstart of 100 m to Celina and beats her by 300 m. By how many metres would Bipasha beat Celina in a 50 m race?

• A. 6.66 m
• B. 7.14 m
• C. 8 m
• D. None of these

Answer 1

The correct option is B 7.14 m

When Ameesha runs 1000 m, then Bipasha runs only 700 m [1000 - (100+200)]
When Ameesha runs 1000m, then Celina runs only 600 m
Therefore,

Now, since in 700 m race Bipasha beats Celina by 100 m. So, in 50 m race Bipasha will beat Celina by
$50\times \frac{100}{700}=7.14m$

Alternatively:
Bipasha beats Celina by 14.28% of the distance then in 50 m race Bipasha will beat Celina by 7.14 m.