John needs to drain the water from a tank with a hose. The water drains at a consistent number of gallons per minute. After 12 minutes, there are 432 gallons remaining in the tank. After 35 minutes, there are 397.5 gallons remaining in the tank. How many hours will it take to completely drain the tank? PLEASE HELP I'VE BEEN DOING THIS TEST FOR ALMOST 4 HOURS

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idontmind idontmind · Answer 1 · 2024-03-02T03:40:27+01:00

Answer:

5 hours

Step-by-step explanation:

First find how many gallons the water drains per minute. To do this, we subtract the time given and subtract the gallons.

35-12=23 minutes

432-397.5 = 34.5 gallons.

Then divide those two numbers.

34.5 gal / 23 mins = 1.5 gal/min or gallons per minute.

Since the water drains consistently, every minute the water drains 1.5 gallons. Now, we can divide to find the minutes.

432 gal / 1.5 gal/min = 288 minutes.

Remember to add the extra 12 minutes since the 432 gallons were remaining after 12 minutes.

288 min + 12 min = 300 minutes.

Since the question asks for hours, convert minutes to hours.

300 / 60 = 5 hours.