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: Understanding the Concept:
In a race, A beats B by the distance B still has to run when A reaches the finish line. So we find how far B has run in the time A takes.

Step 2: Find the speed of B.
B runs 700 m in 35 seconds.
\[ \text{Speed of B} = \frac{700}{35} = 20 \text{ m/s} \]

Step 3: Find distance run by B when A finishes.
A finishes in 30 seconds. In 30 seconds B runs \(20 \times 30 = 600\) m.

Step 4: Find the winning margin.
B is still \(700 - 600 = 100\) m from the finish. So A beats B by 100 m.
Option 1 (75 m) and option 2 (50 m) are too small, and option 4 (200 m) would need B to run only 500 m in 30 seconds, which does not match the speed of B.

Final Answer:
A beats B by 100 m, which is option 3. \[ \boxed{100 \text{ m}} \]