If one runner can run 10 meters in one second and another runner can run 6 meters in one second and the slower runner is given a 70 meter head start, how long will it be before the faster runner catches the slower runner?

Um I am pretty sure that it would take 7 seconds :)

To find out how long it will take for the faster runner to catch up with the slower runner, we need to determine the rate at which the faster runner is gaining on the slower runner.

Let's consider that the faster runner covers a distance of 10 meters every second, while the slower runner covers a distance of 6 meters every second.

The relative speed at which the faster runner is gaining on the slower runner can be determined by subtracting their speeds: 10 meters/second - 6 meters/second = 4 meters/second.

Since the slower runner is given a 70-meter head start, the distance that the faster runner needs to cover to catch up is 70 meters.

To calculate the time it will take for the faster runner to catch up, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 70 meters / 4 meters/second = 17.5 seconds

Therefore, it will take the faster runner 17.5 seconds to catch up with the slower runner.