SOLUTION: when a truck at a 60 miles per hour, it uses 30% more then it does when it travels at 50 miles per hour. the truck can travel 20 miles on a gallon of gas if it is travelling at 5

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: when a truck at a 60 miles per hour, it uses 30% more then it does when it travels at 50 miles per hour. the truck can travel 20 miles on a gallon of gas if it is travelling at 5      Log On


   

Question 133087: when a truck at a 60 miles per hour, it uses 30% more then it does when it travels at 50 miles per hour. the truck can travel 20 miles on a gallon of gas if it is travelling at 50 miles per hour the truck has only 10 gallon of gas and is of 160 miles from its destination . It takes 20 minutes for the truck to stop for gas how long will it take the truck to reach its final destination if the truck is driven at 60 miles per hour?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
First question. how many miles per gallon will the truck go at 60mph?
The problem tells us that the truck gets 30% poorer mileage at 60mph than it does at 50mph. It gets 20mpg at 50. 30% of 20mpg is 6mpg. So the truck makes (20-6)mpg at 60. --> Use 14 miles per gallon at 60.
In order to go 160 miles, we would need 160+%2F+14+ gallons of gas.
That is 11.43 gallons.
The tank is only 10 gallons, so we will need to refuel at the 140 mile marker
total time will be the time it takes to drive 160 miles at 60mph + 1 fuel sto
160%2F60 is 2.666 hours driving = 2 hours 40 minutes.
Add in one fuel stop of 20 minutes.
Total time is 3 hours