An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 12 miles per hour faster than the westbound train. After 1.5 hours, they are 174 miles apart. At what speeds are the two trains traveling?

ITS THE LAST QUESTION ON MY HW PLEASE HELP

setup a t, r, and d table

setup a table for both trains

one at x
other at x+12
total distance 174
time 1.5 hours

check my reply in your previous posting of the same question

http://www.jiskha.com/display.cgi?id=1351128127

Robert and Cynthia bond recently drove 174 1\4 miles on 8 1\2 gallons of gas calculate

To solve this problem, we can set up a system of equations based on the given information.

Let's denote the westbound train's speed as "x" miles per hour.
Then the eastbound train's speed would be "x + 12" miles per hour.

We know that after 1.5 hours, the total distance covered by both trains is 174 miles.

For the westbound train:
Distance = Speed × Time
Distance = x × 1.5

For the eastbound train:
Distance = Speed × Time
Distance = (x + 12) × 1.5

Since the trains are on parallel tracks heading in opposite directions, their distances add up to the total distance between them.
Distance westbound train + Distance eastbound train = Total distance
x × 1.5 + (x + 12) × 1.5 = 174

Now we can solve this equation to find the value of x, which represents the westbound train's speed.

1.5x + 1.5(x + 12) = 174
1.5x + 1.5x + 18 = 174
3x + 18 = 174
3x = 174 - 18
3x = 156
x = 156 / 3
x = 52

Therefore, the westbound train is traveling at a speed of 52 miles per hour, and the eastbound train is traveling at a speed of 52 + 12 = 64 miles per hour.