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Zorluk: OrtaFuel Efficiency and Range

A heavy equipment transporter has a maximum fuel capacity of 250250 gallons and operates with a fuel efficiency of 44 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 5050 gallons of fuel in reserve. What is the maximum one-way distance, in miles, the transporter can travel to the remote site without refueling?

Cevap: 400 miles

Cevap

The maximum one-way distance the transporter can travel is 400 miles.
The correct answer is derived by first identifying the usable fuel (250 - 50 = 200 gallons). Next, the total round-trip distance is calculated by multiplying the usable fuel by the fuel efficiency (200 gallons * 4 miles/gallon = 800 miles). Finally, since the vehicle must travel to the site and return, the total range is divided by 2, resulting in a maximum one-way distance of 400 miles.

Adım Adım Çözüm

1
Determine the amount of usable fuel available for the mission.
200 gallons
The transporter has a 250-gallon tank but must retain a 50-gallon reserve upon return, meaning only 200 gallons can be consumed during the trip.
2
Calculate the total distance the vehicle can travel using the usable fuel.
800 miles
Multiplying the 200 gallons of usable fuel by the vehicle's fuel efficiency of 4 miles per gallon gives the total range.
3
Determine the maximum one-way distance.
400 miles
Because the mission is a round trip along the same route, the total range must cover the distance to the site and back. Therefore, the one-way distance is half of the total range.

Anahtar Kavram

Calculating one-way distance using fuel efficiency, total fuel capacity, required reserves, and accounting for round-trip constraints.
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