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A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 feet per hour.

How many hours will it take for the water level in the tank to be 3 1/2 feet deep?

Enter your answer as a mixed number in simplest form

User Kodartcha
by
7.6k points

2 Answers

7 votes

Answer: 2 4/5

Your answer would be 2 4/5. Hope this helps.

Explanation:

User Singha
by
7.5k points
2 votes

Answer:
2(4)/(5) hours

Explanation:

Given: The rate of increase of depth of water =
1(1)/(4)=(5)/(4) feet per hour.

Depth =
3(1)/(2)\ =(7)/(2)\ feet

Let h be the number of hours the water level in the tank to be
3(1)/(2) feet deep.

We know that the rate of change of depth of water with respect to time is given by :-


k=\frac{\text{Depth}}{\text{time}}\\\\\Rightarrow\ (5)/(4)=((7)/(2))/(h)\\\\\Rightarrow\ (5)/(4)=(7)/(2h)\\\\\Rightarrow5(2h)=4(7)\\\\\Rightarrow h=(28)/(10)=(14)/(5)=2(4)/(5)

Hence, it will take
2(4)/(5) hours for the water level in the tank to be
3(1)/(2) feet deep.

User Lexicon
by
8.1k points

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