SOLUTION: Michael drove to a friends house at a rate of 40 mph. He returned by the same route at a rate of 45 mph. The driving time for the round trip was 4 hours. What is the distance Micha

Question 773257: Michael drove to a friends house at a rate of 40 mph. He returned by the same route at a rate of 45 mph. The driving time for the round trip was 4 hours. What is the distance Michael Traveled?
Please explain how you got this answer.
Thanks
Found 2 solutions by ramkikk66, josmiceli:
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

Michael drove to a friends house at a rate of 40 mph. He returned by the same route at a rate of 45 mph. The driving time for the round trip was 4 hours. What is the distance Michael Traveled? Ans: Let the distance to the friends house be x miles Distance = Speed * time, or time = Distance / speed. So time taken for driving to the friend's house = x/40 And time taken for return = x/45 Total time = x/40 + x/45 Total time is given to be 4 hours. So we get the equation Multipyling by 360 which is the LCM of 40 and 45, miles approximately. :)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the one-way distance to friends house
Let = time spent driving at mi/hr
= time spent driving at mi/hr
---------------
Equation for driving to house
(1)
Equation for driving back:
(2)
--------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)

He traveled 169.412 miles

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