SAT Math Multiple Choice Question 372: Answer and Explanation

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Question: 372

12. A zoo is building a penguin exhibit. It will consist of an underwater area and a land area. The land area is made of thick sheets of ice. An outline of the total space covered by the ice is shown below. A pipe 2 feet in diameter runs the full length of the exhibit under the ice. A substance known as ice-cold glycol continuously runs through the pipe to keep the ice frozen.

The zoo is planning to hire a company to fill the space with water. The company plans to use two 4-inch hoses that can each pump 60 gallons of water per minute. About how long should it take to fill the space? (There are 7.48 gallons of water in 1 cubic foot of ice.)

  • A. 1 hour
  • B. 1 hour, 30 minutes
  • C. 1 hour, 55 minutes
  • D. 2 hours, 15 minutes

Correct Answer: D



Difficulty: Medium

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Let the units in this question guide you to the answer. You'll also need to use the answer you found in the previous question, which is often the case in questions that are grouped together.

Getting to the Answer: The company will use two hoses, each of which pumps at a rate of 60 gallons per minute, so the rate is actually 120 gallons per minute. Convert the volume you found earlier from cubic feet to gallons, and then use the rate to find the time.

The answers are given in hours and minutes, so write 134 minutes as 2 hours and 14 minutes, or about 2 hours and 15 minutes.

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