SOLUTION: It is 440km to Detroit. It took me 5hours to drive there. Part of the time I was traveling 100km/h on the 401 and part of the time I was travelling 60km/h on HWY7. How long was I o

Question 1087615: It is 440km to Detroit. It took me 5hours to drive there. Part of the time I was traveling 100km/h on the 401 and part of the time I was travelling 60km/h on HWY7. How long was I on each road. Create and solve a system for full marks.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in km travelled on 401
= distance in km travelled on HWY7
Let = time in hrs spent on 401
= time in hrs spent on HWY7
---------------------------------------------
Equation for travelling on 401:
(1)
Equation for travelling on HWY7:
(2)
----------------------------------
Plug (1) into (2)
(2)
(2)
(2)
(2)
and

------------------------
3.5 hrs were spent on 401
1.5 hrs were spent on HWY7
-----------------------------
check:
(1)
(1)
(1) km
and
(2)
(2)
(2)
(2)
(2) km
OK

RELATED QUESTIONS
Kareem took 5hours to drive 470km from Sudbury to Brantford. For part of the trip, he... (answered by checkley77)

the distance from brampton to peterborough is 240 km. Chris is able to drive at an... (answered by rwm,htmentor)

Sanjay drove 570km from Regina to Winnipeg in 6.5 h. He drove part of the way at 100km/h... (answered by stanbon)

Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-94. He passes (answered by solver91311)

sam drove 500km from city A to City B in 5.5hr. he drove part of the way at 100km/h and... (answered by mananth)

karen took 5 h to drive 470 km from sudbury to brantford. for part of the trip, she drove (answered by checkley71)

gary drove to Sarnia. Part of the trip was along major highways and the rest was along... (answered by ankor@dixie-net.com)

A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it... (answered by stanbon)

A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it... (answered by checkley75)