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Your roof has a leak. If it leaks at a rate of 14 drops per minute, how many hours will it take to fill a 5.0-gallon bucket?

(20 drops = 1 mL; 30 mL = 1 oz; 64 oz = 1 gal)

A. 230 h
B. 190 h
C. 950 h
D. 1900 h

Answer :

Final answer:

To fill a 5.0-gallon bucket at a rate of 14 drops per minute will take approximately 190 hours, as we must first convert the volumes to the same unit and then divide the total number of drops needed by the leak rate (Option B).

Explanation:

To calculate the time it will take to fill a 5.0-gallon bucket with a leak rate of 14 drops per minute, we need to convert all measurements to the same unit and determine the total volume that needs to be filled.

  • First, we convert gallons to ounces since we have rates in drops and fluid ounces: 5 gallons = 5 × 128 ounces/gallon = 640 ounces.
  • Next, we calculate how many drops make up one gallon: 20 drops = 1 milliliter (mL), and 30 mL = 1 ounce. So, 20 drops/mL × 30 mL/ounce × 128 ounces/gallon = 76,800 drops/gallon.
  • The total number of drops for 5 gallons is then 76,800 drops/gallon × 5 gallons = 384,000 drops.
  • To find the time in hours, we divide the total number of drops by the leak rate: 384,000 drops / (14 drops/minute) × (1 hour/60 minutes) = 182.86 hours.

The closest estimate to the provided options is 190 hours, which is Option B.

Learn more about volumes here:

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