two sprinters runs the same race of 100m. One runs at a speed of 10m/s and the other runs at the speed of 8m/s. by what time will the first sprinter beat the other sprinter?
since time=distance/speed,
100/8 - 100/10
To find the time it takes for the first sprinter to beat the second sprinter, we need to determine the time it takes for each of them to complete the race.
We can start by calculating the time it takes for the first sprinter to complete the race. We know that speed is defined as distance divided by time, so we can rearrange the formula to solve for time.
The distance of the race is 100m, and the speed of the first sprinter is 10m/s. Using the formula:
Time = Distance / Speed
Time = 100m / 10m/s
Time = 10 seconds
Therefore, it takes the first sprinter 10 seconds to complete the race.
Now, let's calculate the time it takes for the second sprinter to complete the race. The distance and speed are the same, so the formula remains the same:
Time = Distance / Speed
Time = 100m / 8m/s
Time = 12.5 seconds
Therefore, it takes the second sprinter 12.5 seconds to complete the race.
Since the first sprinter completes the race in 10 seconds while the second sprinter takes 12.5 seconds, the first sprinter beats the second sprinter by:
12.5 seconds - 10 seconds = 2.5 seconds
Therefore, the first sprinter beats the second sprinter by 2.5 seconds.