Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wendy's water tank contains 97.8 gallons of water. Wendy will begin draining her water tank at a rate of 0.9 gallon per minute. After how many minutes will both water tanks contain the same amount of water? 25 min 30 min 35 min 75 min

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Question:

Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wendy's water tank contains 97.8 gallons of water. Wendy will begin draining her water tank at a rate of 0.9 gallon per minute. After how many minutes will both water tanks contain the same amount of water? 25 min 30 min 35 min 75 min

Answers

Answer:30 minutes Step-by-step explanation:Given the following :Rita's tank contains =7.8 gallons of waterFilling rate = 2.1 gallons per minuteWendy's tank contains = 97.8 gallonsDrain rate =. 0.9 gallons per minuteAfter how many minutes will both contain the same amount of water. Let number of minutes = mRita is filling :Initial + increase7.8 + 2.1m ----(1)Wendy is emptying:Initial - decrease97.8 - 0.9m - - - (2)Equate both ;(1) = (2)7.8 + 2.1m = 97.8 - 0.9m2.1m + 0.9m = 97.8 - 7.83m = 90m = 90 / 3m = 30 minutes

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