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Sophia washes pots in 30 minutes. Her mother takes 15 minutes to wash same amount of them. How much time will it take if they wash those dishes together?

2 Answers2

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Sophie does $1/30$ of the dishes in $1$ minute while her mother does $1/15$. So in a minute they both together do $3/30 $ of the dishes. Thus they do all the dishes in $10$ minutes.

jonsno
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  • Handy trick for problems like this: If 1 person can perform a task in $x$ minutes (or hours or days, etc.), and a second person can perform the same task in $y$ minutes (or hours or days, etc., assuming it's the same units as the first amount of time), then together they can perform the task in $\frac{xy}{x+y}$ minutes (or hours or days, etc.). – Grey Matters Jan 04 '18 at 02:05
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In $10$ minutes, her mother will have washed two thirds of the dishes and Sophia will have washed one third of the dishes.

A. Goodier
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