SOLUTION: Train A travels 20mi/h slower than Train B. It takes Train A 30 minutes longer than Train B to travel 200 miles. How long does it take Train A to make the 200 mile trip? How long d

Question 411735: Train A travels 20mi/h slower than Train B. It takes Train A 30 minutes longer than Train B to travel 200 miles. How long does it take Train A to make the 200 mile trip? How long does it take Train B to travel 525 miles?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = velocity of train A
= velocity of train B
Let = time for train A
= time for train B

write 2 equations: 1 for train A, 1 for train B
A:

---------------------

By substitution:

Use quadratic formula:

(can't use the negative root)

It takes train A 2.5 hours to go 200 mi
and

For train B:

hrs
It takes train B 5.25 hrs to go 525 mi

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