X can run 650 m in 55 s and Y can run the same distance in 1 min 5 .By what distance can X beat y in the 650 m race ?

Answer

To solve the problem of how much distance X can beat Y in a 650 m race, we can follow these steps:

### Step 1: Determine the time taken by both runners.
- X runs 650 m in 55 seconds.
- Y runs 650 m in 1 minute 5 seconds, which is equal to 65 seconds (1 minute = 60 seconds, so 60 + 5 = 65 seconds).

### Step 2: Calculate the difference in time taken by X and Y.
- The difference in time = Time taken by Y - Time taken by X
- Difference in time = 65 seconds - 55 seconds = 10 seconds.

### Step 3: Calculate the speed of X.
- Speed of X = Distance / Time
- Speed of X = 650 m / 55 s = 11.818 m/s (approximately).

### Step 4: Calculate the distance covered by X in the time difference.
- Distance covered by X in 10 seconds = Speed of X × Time difference
- Distance covered by X in 10 seconds = 11.818 m/s × 10 s = 118.18 m (approximately).

### Step 5: Conclusion
- Therefore, X can beat Y by approximately 118.18 meters in the 650 m race.

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