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

Answer:

Train 1: 368 mph

Train 2: 358.1 mph

Step-by-step 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.

$x=9.9+y$

$x=9.9+358.1$

$x=368$