An armored transport vehicle has a 50-gallon fuel tank and averages 20 miles per gallon on… — Armed Services Vocational Aptitude Battery (ASVAB)

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?

$360$ Cevap
B
$456$
C
$504$
D
$600$

Cevap

The vehicle traveled

360

miles on the unpaved terrain.

To find the distance traveled on unpaved terrain, we must isolate the fuel used exclusively for that portion. The vehicle started with

50

gallons and ended with

12

gallons, meaning

38

gallons were used overall. The

160

-mile paved segment at

20

mpg consumed

8

gallons. Subtracting these

8

gallons from the

38

total used leaves

30

gallons burned on the unpaved terrain. Multiplying

30

gallons by the unpaved efficiency of

12

mpg results in

360

miles.

Adım Adım Çözüm

Calculate the fuel consumed on the paved roads.

160 \text{ miles} \div 20 \text{ mpg} = 8 \text{ gallons}

This establishes how much fuel was removed from the tank before the vehicle hit the unpaved terrain.

Calculate the total amount of fuel consumed during the entire mission.

50 \text{ gallons} - 12 \text{ gallons} = 38 \text{ gallons}

Subtracting the remaining fuel from the starting capacity gives the total fuel burned across both terrain types.

Determine the fuel used specifically on the unpaved terrain.

38 \text{ gallons} - 8 \text{ gallons} = 30 \text{ gallons}

Subtracting the paved road fuel usage from the total fuel usage isolates the fuel dedicated to the unpaved portion of the trip.

Calculate the distance traveled on the unpaved terrain.

30 \text{ gallons} \times 12 \text{ mpg} = 360 \text{ miles}

Multiplying the fuel used by the specific fuel efficiency for that terrain yields the correct distance.

Anahtar Kavram

Multi-segment fuel consumption and efficiency rate changes.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru