SOLUTION: You commute 56 miles one way to work. The trip takes 10 minutes longer than the trip home.your average speed on the trip home is 8 miles per hour faster. What is your average speed

Question 648064: You commute 56 miles one way to work. The trip takes 10 minutes longer than the trip home.your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Average speed on trip home is
( distance in miles ) / ( time in hrs )
Let = the time in hours going home
= time to go to work
= speed going to work
= speed going home
-------------------
given:

Multiply both sides by

Subtract from both sides
and multiply both sides by

Use quadratic formula

= average speed going home

The average speed going home is 56 mi/hr
check:
= speed going to work
mi/hr
rate x time =
mi
OK

RELATED QUESTIONS
Please help me solve this equation: You commute 56 miles one way to work. The trip to... (answered by jim_thompson5910)

You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the... (answered by ankor@dixie-net.com)

How would I solve this problem? Like what would my equations be to solve it?? : You... (answered by jorel1380)

Here is one word problem: You commute 56 miles one way to work.The trip to work takes... (answered by ankor@dixie-net.com)

Hello I have two word problems that I needed help on and I need help solving them. Could... (answered by stanbon)

You have 20-mile commute into work. Since you leave early, the trip going to work is... (answered by josmiceli)

You have a 15-mile commute into work. Since you leave very early, the trip... (answered by jorel1380)

You have a 25-mile commute into work. Since you leave very early, the trip... (answered by addingup,MathTherapy,josgarithmetic)

You drove 56 miles one way on a service call. On the return trip your average speed was 8 (answered by josmiceli)