A logistics supply convoy has a strict operational window of 72 hours to complete its rout… — Armed Services Vocational Aptitude Battery (ASVAB)

A logistics supply convoy has a strict operational window of $72$ hours to complete its route. The first leg of the journey takes $1$ day, $9$ hours, and $45$ minutes. The second leg takes $830$ minutes. Before the final leg, the crew takes a mandatory rest period of $4.5$ hours. How many minutes remain in the $72$ -hour operational window for the convoy to complete the final leg?

Cevap: 1195 minutes

Cevap

1195

The total operational window is

4,320

minutes (

72 \times 60

). The elapsed time includes

2,025

minutes for leg 1 (

33 \times 60 + 45

830

minutes for leg 2, and

270

minutes for rest (

4.5 \times 60

). The sum of these elapsed times is

3,125

minutes. Subtracting the total elapsed time from the total available window leaves exactly

1,195

minutes.

Adım Adım Çözüm

Calculate total available time in minutes.

4,320

minutes

Converting the

72

-hour window to a smaller, standard unit (minutes) makes the final subtraction easier.

Convert the duration of the first leg entirely into minutes.

2,025

minutes

The first leg is mixed units (

1

day,

9

hours,

45

minutes).

1

day =

24

hours, plus

9

hours =

33

hours.

33 \times 60 = 1,980

minutes, plus

45

minutes =

2,025

minutes.

Convert the rest period into minutes.

270

minutes

4.5

hours requires conversion.

4.5 \times 60 = 270

minutes.

Calculate the total time elapsed.

3,125

minutes

Sum the durations:

2,025

(leg 1) +

830

(leg 2) +

270

(rest) =

3,125

minutes used.

Subtract the elapsed time from the total window.

1,195

minutes

4,320 - 3,125 = 1,195

minutes remaining for the final leg.

Anahtar Kavram

Converting mixed time units (days, hours, minutes, and fractional hours) into a single base unit to calculate remaining elapsed time.

Tahmini Süre:2m 30s

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