SOLUTION: The total combined time for a truck to travel 378 miles and a car to travel 320 miles is 12 hours. If the average speed of the car is 10 mph more than the average speed of the tru
Algebra.Com
Question 758185: The total combined time for a truck to travel 378 miles and a car to travel 320 miles is 12 hours. If the average speed of the car is 10 mph more than the average speed of the truck, find the average speed of the truck. (use the quadratic formula to solve this problem).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The total combined time for a truck to travel 378 miles and a car to travel 320 miles is 12 hours. If the average speed of the car is 10 mph more than the average speed of the truck, find the average speed of the truck
***
let x=speed of truck
x+10=speed of car
travel time=distance/speed
..
12x^2-578x-3780=0
6x^2-289x-1890=0
a=6, b=-289, c=-1890
x = (289 ±359)/(12)
x=54
or
x=-5.83(reject, x>0)
speed of truck=54 mph
x+10=speed of car=64 mph
RELATED QUESTIONS
The total combined time for a truck to travel 378 miles and a car to travel 320 miles is... (answered by ikleyn,jorel1380)
a truck can travel 320 miles in the same time that it takes a car to travel 400 miles if... (answered by richwmiller)
A truck can travel 150 miles in the same time that it takes a car to travel 200 miles.... (answered by checkley71)
a truck can travel 120 miles in the same time that it takes a car to travel 180 miles. If (answered by jorel1380)
a truck can travel 70 miles in the same time that it takes a car to travel 110 miles. if... (answered by oscargut)
a truck can travel 120 miles in the same time that it takes a car to travel 135 miles. If (answered by macston)
What driving time will be required to travel 600 miles if the average speed is 50... (answered by Alan3354)
A truck can travel 165 miles in the same time that it takes a car to travel 180 miles. If (answered by alicealc)
A truck can travel 315 miles in the same time that it takes a car to travel 360 miles. if (answered by ewatrrr,richwmiller)