Calculus
A truck gets 377/x mpg when driven at a constant speed of x mph (between 25 and 75 mph). If the price of fuel is $1 per gallon and the driver is paid $8 per hour, at what speed between 25 and 75 mph is it most economical to drive? (Give your answer correct to the nearest full mph)
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Answers
The most economical speed to drive is 60 mph. At this speed the truck gets an mpg of 377/60, which is 6.28 mpg. Taking into account the cost of fuel and the driver's hourly wage, the most economical speed is 60 mph. At this rate, it would cost $16.36 in fuel and driver's wages for one hour of travel.
