Fuel Efficiency and Range

A family rents an RV for a cross-country road trip. The RV has a fuel tank capacity of $55$ gallons and averages $12$ miles per gallon. If the driver begins with a completely full tank and plans to leave exactly $10$ gallons of fuel in the tank as a safety reserve, what is the maximum number of miles the RV can travel before needing to refuel?

A military patrol boat consumes 40 gallons of fuel per hour and travels at a constant speed of 20 miles per hour. If the boat completes a round trip to an island 60 miles away, how many gallons of fuel will it use in total?

Match each vehicle trip scenario to the total number of gallons of fuel required to complete the journey.

A courier's motorcycle has a fuel efficiency of $40$ miles per gallon. The courier uses exactly $2.5$ gallons of fuel to complete a round trip from the dispatch center to a customer's location and back. What is the one-way distance between the dispatch center and the customer's location?

During a training exercise, an army jeep travels at a constant fuel consumption rate of 14 miles per gallon. If the jeep starts with exactly 8 gallons of fuel in its tank, what is the maximum number of miles the jeep can travel before running out of gas?

An interstate bus travels from a central terminal to a destination city $150$ miles away and immediately returns along the same route. The bus averages a fuel efficiency of $12$ miles per gallon. If the bus starts the journey with exactly $60$ gallons of fuel, how many gallons of fuel will remain in the tank at the end of the round trip?

A maritime supply vessel consumes fuel at a rate of $2.5$ gallons per mile. The vessel leaves its home port with exactly $500$ gallons of fuel to complete a round-trip delivery to an offshore research station located $70$ miles away. Assuming the fuel consumption rate remains constant, how many gallons of fuel will remain in the tank when the vessel returns to its home port?

Match each vehicle's fuel scenario to its calculated maximum usable travel range.

An armored transport vehicle has a $50$-gallon fuel tank and averages $20$ miles per gallon on paved roads. When driving on unpaved terrain, its fuel efficiency drops to $12$ miles per gallon. The vehicle begins a mission with a completely full tank and drives $160$ miles on paved roads before switching to unpaved terrain for the remainder of the trip. If the vehicle reaches its destination with exactly $12$ gallons of fuel remaining, how many miles did it travel on the unpaved terrain?

A heavy equipment transporter has a maximum fuel capacity of $250$ gallons and operates with a fuel efficiency of $4$ miles per gallon. The vehicle is dispatched to deliver cargo to a remote site and immediately return to its base along the same route. Military regulations require the transporter to arrive back at base with a minimum of $50$ gallons of fuel in reserve. What is the maximum one-way distance, in miles, the transporter can travel to the remote site without refueling?

A cargo transport truck travels from a central depot to a regional distribution center $120$ miles away and returns to the depot along the same route. The truck operates with a fuel efficiency of $15$ miles per gallon. If diesel fuel costs $\$3.50$ per gallon, what is the total fuel cost for this complete round trip?

A military supply convoy travels from Base Alpha to Base Bravo, a distance of 180 miles, and then returns along the exact same route. Fully loaded on the outbound trip, the convoy vehicles average 12 miles per gallon (MPG). Empty on the return trip, they average 15 MPG. If standard diesel fuel costs $4.00 per gallon, what is the total cost of fuel consumed by one vehicle for the entire round trip?

Match each vehicle scenario to its calculated maximum usable travel range in miles.