SOLUTION: a rancher drove 40km/h on the gravel road to the highway, on which she traveled at 60 km/h until she reached a city that was 110 mmm from home. if the trip took 2h, how far was th

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: a rancher drove 40km/h on the gravel road to the highway, on which she traveled at 60 km/h until she reached a city that was 110 mmm from home. if the trip took 2h, how far was th      Log On


   

Question 772078: a rancher drove 40km/h on the gravel road to the highway, on which she traveled at 60 km/h until she reached a city that was 110 mmm from home. if the trip took 2h, how far was the ranch from highway?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming your "10 mmm" is misprint for "10 km", this data table shows the information.

_______________(km/hour)______(hours)__________(km)
ROAD___________rate___________time_____________distance
Gravel_________40_____________g________________40*g
City___________60_____________c________________60*c
Total_________________________2________________110

Variables are assigned as g for travel time on gravel and c for travel time in the city.
Two equations come from the data:
highlight%28g%2Bc=2%29 and highlight%2840g%2B60c=110%29

WHAT TO DO:
Solve the system for g and c, and use pick the expression for the distance which you want computed and compute it. That would be the 60*c number.