Question:

A desert outpost has a water supply that is sufficient to last 21 days for 15 people. At the same average rate of water consumption per person, how many days would the water supply last for 9 people?

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When dealing with problems about resources distributed among people, calculate the total amount of resource (person-days) and then divide by the new number of people.
Updated On: Oct 7, 2025
  • 28.0
  • 32.5
  • 35.0
  • 37.5
  • 42.0
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The Correct Option is D

Solution and Explanation

We are told that the water supply lasts 21 days for 15 people. The total amount of water is sufficient for \( 15 \times 21 = 315 \) person-days. To find how many days the water will last for 9 people, we divide the total person-days by 9: \[ \frac{315}{9} = 35.0 \, \text{days}. \] Final Answer: \[ \boxed{\text{The correct answer is (D) 37.5.}} \]
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