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?

Answer 1

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.

Answer 2

where you get 64 from.

Answer 3

They added 52+12=64 and the eastbound train speed since that train was traveling 12 miles faster than the westbound.