In a 100‑meter race, A covers a certain distance in 36

Both runners cover the same distance in different times.

• A covers 100 m in 36 s

• B covers 100 m in 45 s

Step 1: Find their speeds

Speed of A = $ \frac{100}{36} $ m/s
Speed of B = $ \frac{100}{45} $ m/s

Step 2: Distance covered by B in 36 seconds

(When A finishes the race)

Distance covered by B:

$ = \frac{100}{45} \times 36 $

$ = 100 \times \frac{36}{45} $

$ = 100 \times \frac{4}{5} = 80 \text{ m}$

Step 3: Find winning distance

When A finishes 100 m, B has covered only 80 m.

Winning distance = 100 - 80 = 20 m.