SOLUTION: The distance from cambridge to ottawa is 480 jm. Gerry is able to drive at 100 km/h on Highway 401 but can only average 60 k/h on Highway 7. If the trip takes 6 h, how far did he t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The distance from cambridge to ottawa is 480 jm. Gerry is able to drive at 100 km/h on Highway 401 but can only average 60 k/h on Highway 7. If the trip takes 6 h, how far did he t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 23363: The distance from cambridge to ottawa is 480 jm. Gerry is able to drive at 100 km/h on Highway 401 but can only average 60 k/h on Highway 7. If the trip takes 6 h, how far did he travel on Highway 401.
Could you solve this please with systems.

Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try this:
d1+=+r1t1 This is the distance traveled on hwy 401 where r1 is 100 km/h
d2+=+r2t2 This is the distance traveled on hwy 7 where r2 is 60 km/h
The total distance is d1 + d1 = 480 km.
The total time is t1 + t2 = 6 hours. Rewrite this as: t2 = 6-t1
d1+=+100%28t1%29
d2+=+60%286-t1%29 Here, you have substituted for (6-t1) for t2
d1+%2B+d2+=+480 so:
100%28t1%29+%2B+60%286-t1%29+=+480 Simplify and solve for t1
100t1+%2B+360+-+60t1+=+480 Collect like-terms.
40t1+%2B+360+=+480 Subtract 360 from both sides.
40t1+=+120 Divide both sides by 40.
t1+=+3hours.
Now you can find d1, the distance traveled on hwy 401.
d1+=+100%28t1%29
d1+=+100%283%29
d1+=+300Km. The distance traveled on hwy 401.

Answer by stanbon(75887) About Me  (Show Source):