Question

In a 700 m race, A reaches the finishing point in 30 seconds & B reaches in 35 seconds. By how much distance A beats B?

• A. 75 m
• B. 50 m
• C. 100 m
• D. 200 m

Hint:

Find B's speed, then find how far B runs in 30 seconds. The gap from 700 m is the answer.

Answer 1

The Correct Option is C

Step 1: Compare the times.
A takes 30 s and B takes 35 s for the same 700 m. B takes 5 seconds more than A.

Step 2: Convert the extra time into distance.
When A crosses the line, B needs 5 more seconds to finish. The speed of B is $\frac{700}{35} = 20$ m/s, so in those 5 seconds B covers $20 \times 5 = 100$ m.

Step 3: Cross check with a ratio.
Speeds are in the ratio $\frac{1}{30} : \frac{1}{35} = 7 : 6$. When A runs 700 m, B runs $700 \times \frac{6}{7} = 600$ m. The gap is $700 - 600 = 100$ m.

Final Answer:
A beats B by 100 m. \[ \boxed{100 \text{ m}} \]