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When water is flowing into a certain pool at the rate of r gallons per
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01 Dec 2023, 08:27
01 Dec 2023, 08:27
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When water is flowing into a certain pool at the rate of r gallons per hour, it takes 9 hours to fill the pool. In terms of r, how many hours will it take to fill the pool if water is flowing into the pool at the rate of r + 5 gallons per hour?
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
2023-12-01_19-40-33.png [ 41.84 KiB | Viewed 2803 times ]
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
Attachment:
2023-12-01_19-40-33.png [ 41.84 KiB | Viewed 2803 times ]
Re: When water is flowing into a certain pool at the rate of r gallons per
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01 Dec 2023, 08:32
01 Dec 2023, 08:32
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guddo wrote:
When water is flowing into a certain pool at the rate of r gallons per hour, it takes 9 hours to fill the pool. In terms of r, how many hours will it take to fill the pool if water is flowing into the pool at the rate of r + 5 gallons per hour?
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
The capacity of the tank is given by the formula (time)(rate) = 9r gallons.
To fill a pool with a capacity of 9r gallons at a rate of r + 5 gallons per hour, the time required can be calculated using (time) = (capacity)/(rate). Therefore, it takes 9r/(r + 5) hours to fill the pool.
Answer: D.
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Re: When water is flowing into a certain pool at the rate of r gallons per
[#permalink]
01 Dec 2023, 10:05
01 Dec 2023, 10:05
Volume of the pool is 9r
with flow rate of r+5
the time it will take is
\(\frac{9r}{r + 5}\)
option D
with flow rate of r+5
the time it will take is
\(\frac{9r}{r + 5}\)
option D
guddo wrote:
When water is flowing into a certain pool at the rate of r gallons per hour, it takes 9 hours to fill the pool. In terms of r, how many hours will it take to fill the pool if water is flowing into the pool at the rate of r + 5 gallons per hour?
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
A. \(\frac{9(r + 5)}{r}\)
B. \(\frac{r + 5}{9r}\)
C. \(\frac{r}{r + 5}\)
D. \(\frac{9r}{r + 5}\)
E. \(\frac{r}{9(r + 5)}\)
