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Difficulty: MediumCalculating Rate and Time

An engineering platoon is paving a temporary runway. If their paving machine operates at a constant rate of 2020 feet per minute, how many hours will it take to pave a continuous 3,0003,000-foot section?

  1. A
    2.32.3
  2. 2.52.5Answer
  3. C
    2525
  4. D
    150150

Answer

The paving process will take 2.5 hours.
The correct answer is found by taking the total distance (3,0003,000 feet) and dividing it by the rate (2020 feet per minute) to get a total time of 150150 minutes. Since there are 6060 minutes in an hour, dividing 150150 by 6060 yields exactly 2.52.5 hours.

Step-by-Step Solution

1
Determine the required time in the given units (minutes).
Time = 3,000÷20=1503,000 \div 20 = 150 minutes.
Using the formula Time = Distance ÷ Rate finds the duration in the same unit of time used by the rate.
2
Convert the calculated time from minutes to hours.
150÷60=2.5150 \div 60 = 2.5 hours.
The question explicitly asks for the final answer in hours, so the time in minutes must be divided by 60.

Key Concept

Calculating elapsed time using the distance formula (t=d/rt = d/r) and performing time unit conversions.
Estimated Time:1m 30s
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Topics

Calculating Rate and Time

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