A can run 100 metres in 27 seconds and B in 30 seconds. A will beat B by-

Options

A. 9 metres
B. 10 metres
C. `11 1/8` metres
D. 12 metres

Answer

To solve the problem of how much A will beat B by, we can follow these steps:

### Step 1: Determine the time taken by A and B to run 100 meters.
- A takes 27 seconds to run 100 meters.
- B takes 30 seconds to run 100 meters.

### Step 2: Calculate the time difference between A and B.
- Time difference = Time taken by B - Time taken by A
- Time difference = 30 seconds - 27 seconds = 3 seconds.

### Step 3: Calculate the speed of B.
- Speed of B = Distance / Time = 100 meters / 30 seconds = 10/3 meters per second.

### Step 4: Calculate the distance B covers in the time difference of 3 seconds.
- Distance covered by B in 3 seconds = Speed of B × Time difference
- Distance covered by B in 3 seconds = (10/3) meters/second × 3 seconds = 10 meters.

### Step 5: Conclusion
- A will beat B by the distance that B covers in the time difference of 3 seconds, which is 10 meters.

Thus, A will beat B by **10 meters**.

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