SOLUTION: michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael

Question 208160This question is from textbook
: michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael traveled? This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
michaek drove to a friends house at a rate of 40 mph.
he returned the same route at a rate of 45 mph.
the driving time for the round trip was 4 hours.
what was the distance michael traveled?
:
let d = one way distance
:
Write a time equation: Time =
:
Go time + return time = 4 hrs
+ = 4
Multiply equation by 360 to get rid of the denominators, results:
9d + 8d = 4(360)
:
17d = 1440
d =
d = 84.7 mi one way
:
then total dist:
2*84.7 = 169.4 mi
:
:
Check solution by finding the times
84.7/40 = 2.1175
84.7/45 = 1.8822
-----------------
totaltime 3.9997 ~ 4 hrs

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