Question

Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the other train travels at 80 mph.

How much times passes until the trains are 600 mi apart?

Enter your answer in the box

___hours

Answer 1

4 hours til the trains are 600 miles apart

Answer 2

Let

x--------> the time in hours

y-------> the distance in miles

we know that

The speed is equal to

`Speed=(distance)/(time)`

in this problem

`Speed=(y)/(x)`

`y=(Speed)*x`

Equation First Train

`y1=70x`

Equation Second Train

`y2=80x`

`y1+y2=600\ miles` ---------> equation
`1`

Substitute the values of
`y1` and
`y2` in the equation
`1`

`70x+80x=600`

Solve for x

`150x=600`

`x=4\ hours`

therefore

the answer is

`4\ hours`