Math
posted by awade .
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?

speed of westbound train  x mph
speed of eastbound train  x+12
1.5x + 1.5(x+12) = 174
1.5x + 1.5x + 18 = 174
3x = 156
x = 52
westbound train  52 mph
eastbound train  64 mph
check"
1.5(52) = 78
1.5(64) = 96
78+96 = 174
answer is correct.