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A motor-driven pump discharges 320 gallons of water in 4 minutes. How long will it take to discharge 5,800 gallons? Express the answer to the nearest tenth. O 72.5 O0.01 75.2 69.5

A motor-driven pump discharges 320 gallons of water in 4 minutes. How long will it take to discharge 5,800 gallons? Express the answer to the nearest tenth. O 72.5 O0.01 75.2 69.5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question:** A motor-driven pump discharges 320 gallons of water in 4 minutes. How long will it take to discharge 5,800 gallons? Express the answer to the nearest tenth. **Answer Choices:** - 72.5 - 0.01 - 75.2 (selected) - 69.5 **Explanation:** To solve this problem, we determine the rate at which the pump discharges water and then calculate the time needed for 5,800 gallons. 1. **Calculate the discharge rate:** - Discharge Rate = Total Gallons / Time - Discharge Rate = 320 gallons / 4 minutes - Discharge Rate = 80 gallons per minute 2. **Calculate time for 5,800 gallons:** - Time = Total Gallons / Discharge Rate - Time = 5,800 gallons / 80 gallons per minute - Time = 72.5 minutes The correct answer is **72.5** minutes. Therefore, the choice "75.2" is incorrect.
Transcribed Image Text:**Question:** A motor-driven pump discharges 320 gallons of water in 4 minutes. How long will it take to discharge 5,800 gallons? Express the answer to the nearest tenth. **Answer Choices:** - 72.5 - 0.01 - 75.2 (selected) - 69.5 **Explanation:** To solve this problem, we determine the rate at which the pump discharges water and then calculate the time needed for 5,800 gallons. 1. **Calculate the discharge rate:** - Discharge Rate = Total Gallons / Time - Discharge Rate = 320 gallons / 4 minutes - Discharge Rate = 80 gallons per minute 2. **Calculate time for 5,800 gallons:** - Time = Total Gallons / Discharge Rate - Time = 5,800 gallons / 80 gallons per minute - Time = 72.5 minutes The correct answer is **72.5** minutes. Therefore, the choice "75.2" is incorrect.
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