SOLUTION: Write a system of equations then solve: You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive o

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Write a system of equations then solve: You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive o      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 507924: Write a system of equations then solve:
You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive one hour longer than your friend. How many hours did each of you drive?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You and a friend share the driving on a 280 mile trip.
Your average speed is 58 m.p.h.
Your friend's average speed is 53 m.p.h.
You drive one hour longer than your friend.
How many hours did each of you drive?
:
Let t = friends driving time
then
(t+1) = your driving time
:
Write a distance equation, dist = speed * time
:
your dist + friend's dist = 380 mi
58(t+1) + 53t = 280
58t + 58 + 53t = 280
58t + 53t = 280 - 58
111t = 222
t = 222%2F111
t = 2 hrs your friend drove
then
2 + 1 = 3 hrs driven by you
:
:
See if that checks out, find the dist each drove
58*3 = 174 mi
53*2 = 106 mi
--------------------
total: 280 mi