the length of time required for a trip

Question

A truck driving 260 miles over a flat interstate at a constant rate of 50 miles per hour get s7 miles to the gallon. Fuel costs $3.50 per gallon. For each mile per hour increase in speed, the truck loses a tenth of a mile per gallon in its mileage. Drivers get $27.50 per hour in wages and fixed costs for running the truck amount to $11.33 per hour. What constant speed (between 50mph and the speed limit of 65mph) should the truck drive to minimize the total cost of the trip?

 

What is the length of time required for the trip?

 

Answer 1

Using the info you have supplied, we can calculate the optimum speed but we can't calculate the length of time required without knowing the distance (which I don't see in your problem description)...  if you want to add that data, we can work through how to do the calculations ....