Question

Elena has a washing machine with a 20 gallon capacity. She always uses a 20 gram measure of soap for every 10 gallons of water. One day she tells her son Francisco to fill the washing machine halfway with water, to add the soap and dissolve it well, but Francisco is wrong and adds 60 grams of soap to the water. When Elena realizes the mistake, she thinks of adding pure water to the tank at a rate of 2 gallons per minute and simultaneously opening the drain so that the volume of water in the washing machine remains constant. Assuming the liquid remains uniformly mixed, for how long should Elena add water to correct the error?

Answer 1

Answer:

For $\[20\]$ minutes Elena add water to correct the error.

Step-by-step explanation:

The capacity of the washing machine is $\[20\]$ gallons.

She uses $\[20\]$ gram soap for $\[10\]$ gallon of water

Her son by mistake dissolved $\[60\]$ grams of soap to $\[10\]$ gallons of water.

$\[60\]-$gram soap is right for $\[30\]$ gallons of water, thus $\[20\]$ gallon of water must be added more.

She pore water $\[2\]$ gallons per minute thus, $\[20\]$ gallons of water will take$\[10\]$minutes.

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