A military transport aircraft consumes 3,600 pounds of aviation fuel during a 45-minute fl… — Armed Services Vocational Aptitude Battery (ASVAB)

A military transport aircraft consumes $3,600$ pounds of aviation fuel during a $45$ -minute flight at cruising altitude. Operating at this same constant rate of fuel consumption, how many tons of fuel will the aircraft consume during a $6$ -hour flight at cruising altitude? ( $1 \text{ ton} = 2,000 \text{ pounds}$ )

A
$8.1$
$14.4$ Cevap
C
$24.0$
D
$10.8$

Cevap

The aircraft will consume

14.4

tons of fuel.

Fuel consumption is directly proportional to flight time. First, harmonize the time units by finding the scale factor between the two flights. A

6

-hour flight is

360

minutes. The proportion multiplier is

360 \div 45 = 8

. Multiplying the original

3,600

pounds by

8

gives

28,800

pounds for the longer flight. Finally, convert this weight to tons by dividing by

2,000

, resulting in

14.4

tons.

Adım Adım Çözüm

Calculate the scale factor between the target flight time and the initial flight time.

The target time is

6

hours, which equals

360

minutes (

6 \times 60

). The initial time is

45

minutes. The scale factor is

360 \div 45 = 8

Finding the multiplier makes it easy to scale up the fuel consumption proportionally.

Calculate the total fuel consumed in pounds for the

6

-hour flight.

3,600 \text{ pounds} \times 8 = 28,800 \text{ pounds}

Since fuel consumption is directly proportional to flight time, multiplying the initial fuel by the time scale factor gives the total fuel.

Convert the total fuel from pounds to tons.

28,800 \div 2,000 = 14.4 \text{ tons}

The question asks for the final answer in tons, and we are given that

1 \text{ ton} = 2,000 \text{ pounds}

Anahtar Kavram

Direct Proportions with Unit Conversions

Alternatif Yöntem

Instead of finding the scale factor, you can find the unit rate per minute:

3,600 \div 45 = 80

pounds per minute. Then, convert the

6

-hour flight to minutes (

6 \times 60 = 360

minutes). Multiply the rate by the total minutes (

80 \times 360 = 28,800

pounds), and finally convert to tons (

28,800 \div 2,000 = 14.4

tons).

Tahmini Süre:2m 0s

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Alternatif Yöntem

Konular

Bu konudan daha fazla soru