SOLUTION: The distance to Arsh’s cottage is 230km. Part of the trip is spent driving on a paved road where the limit is 80km/h. The rest of the trip is spent driving on gravel road with th

Algebra.Com
Question 1021980: The distance to Arsh’s cottage is 230km. Part of the trip is spent driving on a paved road where the limit is 80km/h. The rest of the trip is spent driving on gravel road with the limit being 50km/h. If the trip takes 4 hours, how many hours are spent on each part?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
                     rate        time       distance

PAVED                 80

GRAVEL                50

Total                            4            230

Basic uniform travel rates rule is RT=D to relate rate, time, and distance. Either pick variables for time OR variables for the distances, and fill-in the rest of the numbers for the data table. Make the equations and solve the system.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

The distance to Arsh’s cottage is 230km. Part of the trip is spent driving on a paved road where the limit is 80km/h. The rest of the trip is spent driving on gravel road with the limit being 50km/h. If the trip takes 4 hours, how many hours are spent on each part?
Let time spent on paved road, be T

Then time spent on gravel road = 4 – T

We then get the following DISTANCE equation: 80T + 50(4 – T) = 230

80T + 200 – 50T = 230

80T – 50T = 230 – 200

30T = 30

T, or time spent on paved road = , or 

Time spent on gravel road: 4 – 1, or  

RELATED QUESTIONS


it is a 230 km trip. part of the trip is on gravel roads where you can only travel 50km... (answered by josgarithmetic,richwmiller)

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

Driving at 100km/h instead of at 60km/h saves Betty 48 minutes on a drive to her cottage.  (answered by ikleyn)

Pierre drove from Ottawa to London, a distance of 575 km in 8 h. Part of the trip was... (answered by Boreal)

Peter drove from Ottawa to London, a distance of 575km in 8 hours. Part of the trip was... (answered by jorel1380)

Sheri travelled to her cottage and back home again. Her cottage is 90 km from her home.... (answered by solver91311)

Travel Rate: A semi truck travels on a paved road for 2 hours at an average speed of 20... (answered by lwsshak3)

Sheri travelled to her cottage and back home again. Her cottage is 90 km from her home.... (answered by greenestamps)

A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5... (answered by mananth)