Two trains started from the same station at the same time and traveled in opposite directions. After traveling 4 hours, they were 480 miles apart. The rate of t

Question

TRAIN TRAIN TRAIN TRAIN TRAIN

Answer 1

The slow train moves at y mph

The fast train moves at (y+10) mph

 

After 4 hours the slow train travels 4y miles

After 4 hours the fast train travels 4(y+10) miles

 

Now total distance traveled by the trains combined is 4y + 4(y+10) miles

we know this distance is equal to 480 miles

Therefore, 4y + 4(y + 10) = 480
or             4y + 4y + 40 = 480

or                  8y = 480 - 40

or                  8y = 440

or                   y = 55

Therefore, the slow train travels at 55 mph and the fast train at (55 + 10 =) 65 mph