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
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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):
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.
:)
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
(
