Question

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Water flows out of a hose at a constant rate. After 2 1/3 minutes, 9 4/5 gallons of water have come out of the hose. At what rate, in gallons per minute, is water flowing out of the hose?

Answer 1

Time taken: 2\frac{1}{3}

3

1

minutes = 7/3 minutes

Water released: 9\frac{4}{5}

5

4

gallons = 49/5 gallons

Rate of water flowing out:

Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)

plugging the given values

Rate = \frac{\frac{49}{5} }{\frac{7}{3} }

3

7

5

49

= \frac{49}{5} * \frac{3}{7}

5

49

∗

7

3

Rate = 21/5 = 4.2 gallons/minute

Explanation:

i hope it helps

Answer 2

Time taken: 2
`(1)/(3)` minutes = 7/3 minutes

Water released: 9
`(4)/(5)` gallons = 49/5 gallons

Rate of water flowing out:

Rate(in gallons/minute) = Water released (in gallons) / Time Taken (in minutes)

plugging the given values

Rate =
`((49)/(5) )/((7)/(3) )` =
`(49)/(5) * (3)/(7)`

Rate = 21/5 = 4.2 gallons/minute