Question

In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

• A. 11.11 m
• B. 10 m
• C. 12 m
• D. 25 m

Hint:

Always compare speeds using the same race and proportional distances when solving relative race problems.

Answer 1

The Correct Option is A

Step 1: Understanding speeds from given race In 200 m race: A’s distance when S finishes = $200$ m, S’s distance = $180$ m (beaten by 20 m). Similarly, N’s distance when A finishes = $160$ m. Step 2: Relating S and N When S covers $180$ m, N covers $160$ m. So ratio of S’s speed to N’s speed = $180 : 160 = 9 : 8$. Step 3: In 100 m race between S and N When S runs 100 m, N runs $\frac{8}{9} \times 100 = 88.88\ \text{m}$. Thus S beats N by $100 - 88.88 = 11.11\ \text{m}$.