Question

Suppose you are given a ten-yard

head start in a race with a friend. Each
second from the start of the race, your
friend gains one yard on you. How many
seconds does it take for your friend to
catch up to you?

Answer 1

Your friend will catch up to you in 10 seconds.

Step-by-step explanation:

Let's assume you are running at a constant speed. Since your friend gains one yard on you every second, it means that your friend is closing the gap between you at a rate of one yard per second. As you have a ten-yard head start, your friend needs to make up a distance of ten yards to catch up with you.

To find the time it takes for your friend to catch up, we can use the formula:

Time = Distance / Rate

In this case, the distance your friend needs to cover is ten yards and the rate at which he gains on you is one yard per second. So:

Time = 10 yards / 1 yard/second = 10 seconds

Therefore, it will take your friend 10 seconds to catch up with you.

Learn more about Calculating time to catch up in a race