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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
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
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