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Difficulty: HardTime Measurements and Calculations

A logistics supply convoy has a strict operational window of 7272 hours to complete its route. The first leg of the journey takes 11 day, 99 hours, and 4545 minutes. The second leg takes 830830 minutes. Before the final leg, the crew takes a mandatory rest period of 4.54.5 hours. How many minutes remain in the 7272-hour operational window for the convoy to complete the final leg?

Answer: 1195 minutes

Answer

1195
The total operational window is 4,3204,320 minutes (72×6072 \times 60). The elapsed time includes 2,0252,025 minutes for leg 1 (33×60+4533 \times 60 + 45), 830830 minutes for leg 2, and 270270 minutes for rest (4.5×604.5 \times 60). The sum of these elapsed times is 3,1253,125 minutes. Subtracting the total elapsed time from the total available window leaves exactly 1,1951,195 minutes.

Step-by-Step Solution

1
Calculate total available time in minutes.
4,3204,320 minutes
Converting the 7272-hour window to a smaller, standard unit (minutes) makes the final subtraction easier.
2
Convert the duration of the first leg entirely into minutes.
2,0252,025 minutes
The first leg is mixed units (11 day, 99 hours, 4545 minutes). 11 day = 2424 hours, plus 99 hours = 3333 hours. 33×60=1,98033 \times 60 = 1,980 minutes, plus 4545 minutes = 2,0252,025 minutes.
3
Convert the rest period into minutes.
270270 minutes
4.54.5 hours requires conversion. 4.5×60=2704.5 \times 60 = 270 minutes.
4
Calculate the total time elapsed.
3,1253,125 minutes
Sum the durations: 2,0252,025 (leg 1) + 830830 (leg 2) + 270270 (rest) = 3,1253,125 minutes used.
5
Subtract the elapsed time from the total window.
1,1951,195 minutes
4,320−3,125=1,1954,320 - 3,125 = 1,195 minutes remaining for the final leg.

Key Concept

Converting mixed time units (days, hours, minutes, and fractional hours) into a single base unit to calculate remaining elapsed time.
Estimated Time:2m 30s
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Topics

Time Measurements and Calculations

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