SOLUTION: Train a has a speed of 35 mph greater than that of train b if train a travels 270 miles in the same times train b travels 200 miles What are the speeds of the two trains

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Question 1199913: Train a has a speed of 35 mph greater than that of train b if train a travels 270 miles in the same times train b travels 200 miles What are the speeds of the two trains
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
TRAIN     SPEEDS       TIME              DISTANCE

A         r+35         270/(r+35)          270

B          r           200/r               200

270%2F%28r%2B35%29=200%2Fr
---

270r=200%28r%2B35%29
27r=20%28r%2B35%29
27r=20r%2B700
7r=700
r=100
.
.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The difference in distances for the two trains is 70 miles; the difference in speeds is 35mph. That means each of the two trains was traveling for 70/35 = 2 hours.

So the speeds of the two trains are 270/2 = 135mph and 200/2 = 100mph.

ANSWERS: 100 and 135 mph