SOLUTION: the speed of train A is 14mph slower than the speed of train B. train A travels 200 miles in the same time it takes train B to travel 270 miles. find the speed of each train.

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Question 325215: the speed of train A is 14mph slower than the speed of train B. train A travels 200 miles in the same time it takes train B to travel 270 miles. find the speed of each train.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
200=(R-14)T
T=200/(R-14)
270=RT
T=270/R
200/(R-14)=270/R
270(R-14)=200R
270R-3,780=200R
270R-200R=3,780
70R=3.780
R=3,780/70
R=54 ANS. FOR TRAIN B.
54-14=40 ANS. FOR TRAIN A.
PROOF:
200=40T
T=200/40
T=5 HOURS.
5=270/54
5=5