SOLUTION: two trucks leave a warehouse at the same time and travel in opposite directions. the faster truck travels on average about 8 mph faster than the other truck. after 5 hours the truc

Question 984779: two trucks leave a warehouse at the same time and travel in opposite directions. the faster truck travels on average about 8 mph faster than the other truck. after 5 hours the trucks are 580 miles apart. how fast does each truck travel?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
The trucks separate at a rate of 580mi/5hrs=116 mph
116 mph is the sum of the two trucks speeds.
.
S=rate of slower truck; F=rate of faster truck=S+8mph
.
S+F=116mph
S+(S+8)=116mph
2S=108mph
S=54mph ANSWER 1: The slower truck averages 54 mph.
F=S+8mph=54mph+8mph=62mph ANSWER 2: The faster truck travels 62 mph.
.
CHECK:
Distance of slower truck + distance of faster truck=580 mi
(5 hrs)(54 mph)+(5hrs)(62mph)=580 mi
270 mi+310 mi=580 mi
580 mi=580 mi
RELATED QUESTIONS
Two trucks leave a warehouse at the same time traveling in opposite directions. The rate (answered by ewatrrr)

two trucks leave a warehouse at the same time traveling in opposite directions. the rate... (answered by josmiceli)

Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate (answered by HasanSahin)

Two trucks leave a warehouse at the same time. One truck travels east at a rate of 55... (answered by ankor@dixie-net.com)

From a Truck stop, two trucks travel in opposite directions on a straight highway. In 3... (answered by Fombitz)

Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by josgarithmetic)

Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by ikleyn)

two trucks start from the same point at the same time and go in opposite directions. One... (answered by richwmiller)

Two airplanes leave an airport at the same time and travel in opposite directions. (answered by richwmiller)