3 years ago

How to convert fractions to the common IN ENGLISH PLEASE(something a dumb 13 year old can understand)

Mathematics

1 answer:

Alex777 [14]3 years ago

4 0

U said u understand so figure it out..? Whats the problem

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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

Talja [164]

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

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