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muminat
3 years ago
5

It takes Destiny y 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work toge

ther, how long will it take them?
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer: it will take them 2.22 hours working together.

Step-by-step explanation:

It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be

1/4 per hour.

It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be

1/5 per hour.

If they work together, they would work at their own individual rates. This means that their individual rates are additive.

Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,

1/4 + 1/5 = 1/t

9/20 = 1/t

t = 20/9 = 2.22 hours

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A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

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Therefore, when b doubles, a will be divided by 2, that means a is halfed.

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