SOLUTION: two trains travel toward each other from city a and city b, which are 400 miles apart, and they are traveling at the rates of 110 mph and 90 mph. they started at the same time and

Question 462486: two trains travel toward each other from city a and city b, which are 400 miles apart, and they are traveling at the rates of 110 mph and 90 mph. they started at the same time and reach city c at the same time.
a)in how many hours the trains will reach to city c between city a and city b?
b) what distance did the faster train travel to reach to city c?
Found 2 solutions by josmiceli, rwm:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance faster train travels
Let = distance slower train travels
given:

faster train:
(1)
slower train:
(2)
----------------
(a)
Add (1) and (2)

hrs
They will reach city c in 2 hours
(b)
(1)
(1)
(1) mi
The faster train will travel 220 mi
check:
(2)
(2)
(2) mi
mi
OK
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
110t+90t=400
200t=400
t=2 hours
city a (faster )is 220 miles from c and city b is 180 miles from city c
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