SOLUTION: Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travels 2 miles per hour slower than the other car and it

Question 1018185: Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travels 2 miles per hour slower than the other car and it takes it 6 hours for the trip. If the car with the shorter route takes 5 hours for its trip, find the length of each route.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the car taking
the shorter route in mi/hr
= the speed of the cat taking the
longer route in mi/hr
Let = the distance of the shorter route in miles
= the distance of the longer route in miles
---------------------------------------------
Equation for car taking the shorter route:
(1)
euation for the car taking the longer route:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2)
and

-------------------
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
The shorter route is 275 mi
The longer route is 318 mi
-----------------------
check:
(2)
(2)
OK
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