A runner X ran the mile race in 4.25 sec. Another runner Y requires 4.55 sec to run the distance. If they start out together and maintain their normal speeds, how far apart will they be at the finish of the race?
1 Mile = 1600 Meters.
V1 = 1600M / 4.55s = 351.65m/s = Mr X's speed.
At the end of 4.25s, Mr.Y has run 1600
meters.
During the same time, Mr. X runs:
d = 351.65m/s * 4.25s = 1494.5 meters.
1600 -1494.5 = 105.5m apart at end of race.
Thank you for the impormative solution , God bless
To find out how far apart runners X and Y will be at the finish of the race, we first need to calculate the distance each runner covers in the given time.
Runner X's speed can be calculated by dividing the distance traveled by the time taken:
Speed of X = Distance / Time
Speed of X = 1 mile / 4.25 sec
Similarly, the speed of runner Y can be calculated as follows:
Speed of Y = 1 mile / 4.55 sec
Now, let's calculate the distance covered by each runner:
Distance covered by X = Speed of X * Time taken by X
Distance covered by Y = Speed of Y * Time taken by Y
Distance covered by X = (1 mile / 4.25 sec) * 4.25 sec
Distance covered by Y = (1 mile / 4.55 sec) * 4.55 sec
Simplifying further:
Distance covered by X = 1 mile
Distance covered by Y = 1 mile
Since both X and Y are running the same distance, they will finish the race at the same point. Therefore, they will be zero distance apart at the finish of the race.
To find how far apart the runners will be at the finish of the race, we need to first calculate the distance each runner covers in their respective times.
Runner X runs the mile race in 4.25 seconds, and runner Y runs it in 4.55 seconds.
We need to convert their times to a common unit, such as distance per second, before comparing them.
The formula for calculating distance is speed multiplied by time, or distance = speed × time.
First, let's calculate the speed of each runner:
The speed of runner X = distance covered / time taken = 1 mile / 4.25 seconds
The speed of runner Y = distance covered / time taken = 1 mile / 4.55 seconds
Now, let's calculate the distance covered by each runner:
Distance covered by runner X = speed of X × time taken = (1 mile / 4.25 seconds) × 4.25 seconds
Distance covered by runner Y = speed of Y × time taken = (1 mile / 4.55 seconds) × 4.55 seconds
Since the distance of a mile is the same for both runners, they will be apart by the difference in the distances covered:
Distance apart at the finish of the race = | distance covered by runner X - distance covered by runner Y |
Now, let's substitute the calculated values into the equation:
Distance apart at the finish of the race = | (1 mile / 4.25 seconds) × 4.25 seconds - (1 mile / 4.55 seconds) × 4.55 seconds |
Calculating this expression will give you the distance that runner X and runner Y will be apart at the finish of the race.