How many 20 ton trucks would be needed to supply a job receiving a total of 800 tons of HMA with a 0.75 hour round trip time, where the work day is 8 hours?

To determine how many 20-ton trucks are needed to supply a total of 800 tons of hot mix asphalt (HMA) within an 8-hour workday, we first need to analyze the round trip time and the capacity of each truck.

Given the round trip time is 0.75 hours, each truck can make a certain number of trips during the workday. With an 8-hour workday, the number of trips one truck can make is calculated by dividing the total work hours by the trip duration:

Number of trips per truck = 8 hours / 0.75 hours per trip = 10.67 trips, which, when considering full trips, can be approximated to 10 trips in practical scenarios.

Each truck can carry 20 tons of HMA per trip. Therefore, the total amount of HMA that one truck can deliver in one workday is:

Total tons delivered per truck = 20 tons/trip * 10 trips = 200 tons.

To meet the total job requirement of 800 tons, we need to divide the total tons by the amount that one truck can deliver:

Number of trucks needed = 800 tons / 200 tons per truck = 4 trucks.

This calculation leads