SOLUTION: A car travels 200km on a main highway and then travels 30km/h slower on a secondary highway for 160km. The trip took 6 hours in total. Set up a rational equation that models this

Algebra.Com
Question 1136702: A car travels 200km on a main highway and then travels 30km/h slower on a secondary highway for 160km. The trip took 6 hours in total.
Set up a rational equation that models this situation and use it to algebraically determine the speed on the main highway.
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!


r, car speed on main highway

-
r, speed
x, time
d, distance
-


                       SPEEDS        TIMES        DISTANCES

Main hwy               r            200/r          200

Secondary hwy          r-30         160/(r-30)     160

TOTAL                                6

Sum of the time quantities totals 6 hours.


-





.
.
RELATED QUESTIONS

A bus travels 60 mph for 6 hours on the highway. How far did the bus... (answered by Alan3354)
Melanie’s family drove for 5 hours on the main highway and 3 hours on a smaller highway,... (answered by ikleyn)
A car travelled on a highway at a speed of 80km/h for 6 minutes. What is the distance... (answered by richwmiller,obaid10,MathTherapy)
A bus travels 387 miles in 5 hours. One hour of the trip was in city traffic. The bus's... (answered by stanbon,Paul)
A car travels 60km at 30km/h and then a further 180km @ 16- km/h. Find: a) Total time... (answered by nerdybill,richwmiller)
Deborah drove 5 hours on a secondary roads at a steady speed. She completed her trip by... (answered by josgarithmetic)
a car travels on a highway at a speed less than 55 miles per hour use the formula for... (answered by Alan3354)
Susan drove for 4 hours on secondary roads at a steady speed. She completed her trip by... (answered by josgarithmetic)
On a highway, susan travels at a speed of 125 km/h between two rest stops.It took her 1... (answered by Theo)