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

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) (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:
and

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.
RELATED QUESTIONS
Matthew drove 20 km at a steady speed to get to the highway. Once on the highway he... (answered by josgarithmetic)

Natasha drove from Bedington to Portsmouth at an average speed of 100 km/h. On the way... (answered by checkley77,nerdybill)

Super confused, need help by today- Lisa travels at 30km/h on the way to visit a... (answered by josgarithmetic)

Madisson drove to Nashville and back and spent a total of 8 hours of driving. She drove... (answered by josgarithmetic)

Hillary and Charlene both drove from City A to City B. At 10a, Hilary left City A and... (answered by josmiceli,greenestamps)

Question 1: Dino traveled 1.5 hours at 80 km/h for the first 2/5 of his journey. His... (answered by ankor@dixie-net.com)

Alana drove to Ottawa at 97 km/h. she drove a total of 845 km. how long did it take her... (answered by JulietG)

Jenny traveled to the lake and back. On the trip there she traveled 80 km/h and on the... (answered by ankor@dixie-net.com)

Wilma drove at an average speed of 50 mi/h from her home in City A to visit her sister in (answered by ankor@dixie-net.com)