Question

The sum of the speeds of two trains is

726.1 miles per hour. If the speed of the first train is
9.9 mph faster than that of the second​ train, find the speeds of each.

Answer 1

Train 1: 368 mph

Train 2: 358.1 mph

Explanation:

We can write 2 equations to represent this problem.

`x+y=726.1`

`x=9.9+y`

The x represents the first train and the y represents the second train.

We can plug in x into the first equation.

`(9.9+y)+y=726.1`

`9.9+2y=726.1`

`2y=716.2`

`y=358.1`

Now that we know our y, we can find our x.

`x=9.9+y`

`x=9.9+358.1`

`x=368`