For speeds between 40 mph and 65 mph, a diesel truck gets 400/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 5 dollars per gallon. The driver is paid 22 dollars per hour.
And your question is?
see related questions below on how to set it up to find the cost of operating the truck
To find out the cost per hour of driving the diesel truck, we need to calculate two things: the amount of fuel consumed per hour and the driver's wage per hour.
First, let's calculate the fuel consumption per hour. The truck's fuel efficiency is given as 400/x miles per gallon when driven at a constant speed of x miles per hour. Since we are considering speeds between 40 mph and 65 mph, we can calculate the average fuel consumption by taking the average of the two speeds:
Average Speed = (40 mph + 65 mph) / 2 = 105 / 2 = 52.5 mph
Average Fuel Consumption = 400 / Average Speed = 400 / 52.5 = 7.62 gallons per hour
Next, let's calculate the cost of the consumed fuel per hour. The price of diesel gasoline is given as 5 dollars per gallon.
Fuel Cost per Hour = Average Fuel Consumption * Price per Gallon
Fuel Cost per Hour = 7.62 gallons per hour * $5 per gallon = $38.10 per hour
Finally, let's calculate the driver's wage per hour, which is given as $22 per hour.
Driver's Wage per Hour = $22 per hour
To find the total cost per hour of driving the diesel truck, we sum the fuel cost per hour and the driver's wage per hour:
Total Cost per Hour = Fuel Cost per Hour + Driver's Wage per Hour
Total Cost per Hour = $38.10 per hour + $22 per hour = $60.10 per hour
Therefore, the cost per hour of driving the diesel truck is $60.10.