SOLUTION: The speed of train A is 16mph slower tan the speed of train B. Train A travels 200 Miles in the same time it takes train b to travel 280 miles. find the speed of each train.

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Question 309826: The speed of train A is 16mph slower tan the speed of train B. Train A travels 200 Miles in the same time it takes train b to travel 280 miles. find the speed of each train.
Answer by ankor@dixie-net.com(22740) (Show Source):
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The speed of train A is 16 mph slower than the speed of train B.
Train A travels 200 Miles in the same time it takes train b to travel 280 miles. find the speed of each train.
:
Let s = Train A speed
then
(s+16) = Train B speed
:
Write a time equation; time = dist/speed
:
Train A time = Train B time
=
Cross multiply
280s = 200(s+16)
280s = 200s + 3200
280s - 200s = 3200
80s = 3200
s =
s = 40 mph for train A
and
40 + 16 = 56 mph train B
;
:
Check solution by finding the times
280/56 = 5 hrs
200/40 = 5 hrs