SOLUTION: The Marsh family took a vacation that was a total of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?

Question 804040: The Marsh family took a vacation that was a total of 1356 miles. The return trip was 284 miles shorter than the first part of the trip. How long was the return trip?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the 1st part of the trip
Let = the 2nd part of the trip
--------------

----------------
By substitution:

and, since

The return trip was 536 miles
check:

OK

RELATED QUESTIONS
A family drove 1080 miles to their vacation lodge. Bercause of increased traffic... (answered by RAY100)

A family drove 1080 miles to their vacation lodge. Bercause of increased traffic... (answered by RAY100,ptaylor)

A family drove 1512 miles to their vacation lodge. Because of increased traffic density,... (answered by stanbon)

A family drove 1080 miles to their vacation lodge. Because of increased traffic density,... (answered by LisaJ)

1. Jenna and her family drove a total of 5 hours on their vacation trip. Their average (answered by ewatrrr)

susan rode her bicycle out into the country for a distance of 24 miles. on the way back,... (answered by checkley77)

A consultant traveled 3 hours to attend a meeting. The return trip took only 2 hours... (answered by rapaljer)

A family making a long trip drove 1/4 of the distance on the first day, 575 miles on the... (answered by ankor@dixie-net.com)

A family goes on a vacation to a water park. During the drive to the water park the... (answered by Cromlix)