SOLUTION: Laura drives home to her city at a distance of 380km. She takes the Backroads at a speed of 50km/h and she takes the highways at 100km/h. The trip takes 5h. How far does she drive

Question 939198: Laura drives home to her city at a distance of 380km. She takes the Backroads at a speed of 50km/h and she takes the highways at 100km/h. The trip takes 5h. How far does she drive on each road?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Laura drives home to her city at a distance of 380km. She takes the Backroads at a speed of 50km/h and she takes the highways at 100km/h. The trip takes 5h. How far does she drive on each road?
-------------
Equations:
b + h = 380 km
b/50 + h/100 = 5 hrs
----------------------------
b + h = 380
2b + h = 500
-----------------
b = 120 km (distance on backroads)
---
h = 380-120 = 260 km (distance on highways)
=================
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
Jennifer drives to her friends house 20km away. There is no direct route so she travels... (answered by Alan3354)

A teacher lives at a distance of 2.6 km from her school. (i) Calculate the time, in... (answered by stanbon)

A motorist drives 146km at a certain average speed she then increases the speed by 9km/h... (answered by ankor@dixie-net.com,stanbon,MathTherapy)

A girl goes to her school from her home at 3 km/h and come back from her school at 2 km... (answered by Alan3354)

Everyday to avoid traffic driver morning commute, Yunru Takes the back roads from Her... (answered by ikleyn)

Jennifer drives 400 miles at a certain speed to New York State for a ski vacation. When... (answered by ptaylor)

the time it takes to travel a certain distance varies inversely as the rate of speed. if... (answered by josmiceli)

She drives 10 miles from her friend to the motorway 240 miles on the motorway 5 miles to... (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)