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Question

Two trains leave a station at the same time. One train is traveling east at 10 miles per hour faster than the other train, which is traveling west. After 6 hours, the two trains are 720 miles apart. At what speed did the faster train travel?

Answer 1

The West bound train is traveling at x mph

The East bound train is traveling at x+10 mph

So the distance in miles between the trains after h hours is (x+x+10)•h=(2x+10)•h

 

So to find x we plug in h=6

we have (2x+10)•6=720

12x+60=720

12x=660

x=660/12=55

 

so the faster train traveled at x+10=55+10=65 mph

Answer 2

distance=rate*time

d=rt

720=r*6+(r+10)*6

720=6r+6r+60

720-60=12r

660=12r

r=660/12

r=55 mph 

r+10=65 mph  (answer)