SOLUTION: Mike drove to a friends house at a rate of 40 miles mph. The return trip he traveled at a rate of 45 mph. Total driving time was 4 hours. What is the distance Mike traveled?

Question 650320: Mike drove to a friends house at a rate of 40 miles mph. The return trip he traveled at a rate of 45 mph. Total driving time was 4 hours. What is the distance Mike traveled?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance to friend's house in miles
Let = time in hrs to drive to friend's house
given:
To friend's house:
(1)
Return trip:
(2)
-------------------
Substitute (1) into (20
(2)
(2)
(2)
(2)
(2)
Plug this result back into (1) or (2)
(1)
(1)
(1)
and
Mike traveled 169.412 mi
check:
(2)
(2)
(2)
(2)
(2)
OK

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Mike drove to a friends house at a rate of 40 miles mph. The return trip he traveled at a rate of 45 mph. Total driving time was 4 hours. What is the distance Mike traveled?
----------------
Avg speed for the round trip = 2*40*45/(40 + 45)
= 720/17 mi/hr
RT distance = (720/17)*4 = 2880/17 miles

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