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
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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.
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S=rate of slower truck; F=rate of faster truck=S+8mph
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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.
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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
