Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan rides at a constant speed of 8 miles per hour, and Nathan rides a constant speed of 10 miles per hour. How long does it take until Reagan and Nathan meet?

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

   (1)      

  (2)

Where R is for Reagan and N for Nathan.

Knowing that:

By adding equations (1) and (2) we have:

Therefore, they meet in 2.22 hours.        

I hope it helps you!