Runner A runs 7.5 meters per second and runner B runs 7.9 meters per second. Runner A has a 55 meter lead, how long will it take runner B to catch runner A?
To find the time it takes for runner B to catch runner A, we need to determine how long it takes for runner B to cover the initial distance that runner A has already covered.
Let's begin by calculating how long it takes for runner A to travel the initial 55-meter lead. We can use the formula:
Time = Distance / Speed
For runner A:
Time_A = 55 meters / 7.5 meters per second
Time_A = 7.33 seconds
This means that runner A takes 7.33 seconds to travel the initial 55-meter lead.
Now, runner B needs to catch up to runner A, covering the same distance. We can calculate the time taken by runner B using the same formula:
Time_B = Distance / Speed
But in this case, the distance is 55 meters, since runner B needs to cover the same distance that runner A has already covered. The speed of runner B is 7.9 meters per second.
Time_B = 55 meters / 7.9 meters per second
Time_B ≈ 6.96 seconds
Therefore, it will take runner B approximately 6.96 seconds to catch up to runner A.
To calculate the time it takes for Runner B to catch Runner A, we need to determine the time it takes for both runners to cover the initial lead distance of 55 meters.
Let's start by finding the time it takes for Runner A to cover 55 meters. We can use the formula:
Time = Distance / Speed
For Runner A:
Time_A = 55 meters / 7.5 meters per second
Time_A = 7.333 seconds
Now, let's find the time it takes for Runner B to cover the same distance of 55 meters:
Time_B = Distance / Speed
Time_B = 55 meters / 7.9 meters per second
Time_B ≈ 6.962 seconds
Therefore, it will take Runner B approximately 6.962 seconds to catch up with Runner A.