3 years ago

WILL GIVE BRAINLIEST Just need the answer

Mathematics

1 answer:

Monica [59]3 years ago

7 0

Answer: B

Step-by-step explanation:

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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

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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

$\frac{1}{x}=\frac{1}{40}+\frac{1}{60}\\ \\ \text{Make the denominator equal we get}\\ \\ \frac{1}{x}=\frac{1}{40}*\frac{60}{60}+\frac{1}{60}*\frac{40}{40}\\ \\ \frac{1}{x}=\frac{60}{2400}+\frac{40}{24000}\\ \\ \text{Simplify we get}\\ \\ \frac{1}{x}=\frac{60+40}{2400}\\ \\ \frac{1}{x}=\frac{100}{2400}\\ \\ \frac{1}{x}=\frac{1}{24}\\ \\ x=24\\$

Hence, when both the pumps works together, Time taken =24 minutes.

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4 years ago

Read 2 more answers