Ginger wants to fill her new swimming pool. She has two pumps; the larger pump takes 40 minutes to fill the pool, and the smalle
r one takes 60 minutes. How long will it take to fill the pool if both pumps are working?
2 answers:
As per the problem,
The larger pump takes 40 minutes to fill the pool.
The smaller one takes 60 minutes.
When both the pumps are working , let the time taken be x minutes , then we can write
![\frac{1}{x}=\frac{1}{40}+\frac{1}{60}\\ \\ \text{Make the denominator equal we get}\\ \\ \frac{1}{x}=\frac{1}{40}*\frac{60}{60}+\frac{1}{60}*\frac{40}{40}\\ \\ \frac{1}{x}=\frac{60}{2400}+\frac{40}{24000}\\ \\ \text{Simplify we get}\\ \\ \frac{1}{x}=\frac{60+40}{2400}\\ \\ \frac{1}{x}=\frac{100}{2400}\\ \\ \frac{1}{x}=\frac{1}{24}\\ \\ x=24\\](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B40%7D%2B%5Cfrac%7B1%7D%7B60%7D%5C%5C%20%5C%5C%20%5Ctext%7BMake%20the%20denominator%20equal%20we%20get%7D%5C%5C%20%5C%5C%20%20%20%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B40%7D%2A%5Cfrac%7B60%7D%7B60%7D%2B%5Cfrac%7B1%7D%7B60%7D%2A%5Cfrac%7B40%7D%7B40%7D%5C%5C%20%5C%5C%20%20%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B60%7D%7B2400%7D%2B%5Cfrac%7B40%7D%7B24000%7D%5C%5C%20%5C%5C%20%20%20%5Ctext%7BSimplify%20we%20get%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B60%2B40%7D%7B2400%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B100%7D%7B2400%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B24%7D%5C%5C%20%5C%5C%20x%3D24%5C%5C%20)
Hence, when both the pumps works together, Time taken =24 minutes.
It will take one hundred minutes
You might be interested in
Answer:
5th grade mean - 4.67
7th grade mean - 3.46
5th-grade median - 5
7th-grade median - 3.5
Step-by-step explanation:
7x = 2x + 5
7x - 2x = 5
5x = 5
x = 1
Answer:
47%
Step-by-step explanation:
Total number of males=14
Total number of females =16
Total number of students =16+14
=30
Probability of a selecting a male student
![= \frac{number \: of \: male \: students}{total \: number \: of \: students} \\ = \frac{14}{30} \\ \frac{7}{15} \\ to \: the \: nearest \: whole \: percent \\ = \frac{7}{15} \times 100 \\ = 46.66](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bnumber%20%5C%3A%20of%20%5C%3A%20male%20%5C%3A%20students%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20students%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B14%7D%7B30%7D%20%5C%5C%20%20%5Cfrac%7B7%7D%7B15%7D%20%5C%5C%20to%20%5C%3A%20the%20%5C%3A%20nearest%20%5C%3A%20whole%20%5C%3A%20percent%20%5C%5C%20%20%3D%20%20%5Cfrac%7B7%7D%7B15%7D%20%20%5Ctimes%20100%20%5C%5C%20%3D%20%2046.66%20)
=47%
X=-3 x=5
y=10 y=-22
x=2 and y=12
Answer:
10x^5y - 40xy^3 = 36000xy
Step-by-step explanation: