It takes Tyler, traveling at 36mph

Question

, 10
minutes longer to go a certain distance than it takes Ricky traveling at 48mph
. Find the distance traveled.

Answer 1

Let the distance traveled be d.

We know that time = distance/speed.

For Tyler: time = d/36

For Ricky: time = d/48

We also know that Tyler takes 10 minutes longer than Ricky, which is 1/6 of an hour.

So we can set up the equation:

d/36 = d/48 + 1/6

Multiplying both sides by the least common multiple of 36 and 48 (144), we get:

4d = 3d + 24

Simplifying, we get:

d = 24

Therefore, the distance traveled is 24 miles.