Question

Terrence finished the word search in 3/4 the time it took Frank. Charlotte finished the word search in 2/3 the time it took Terrance. Frank finished a word search in 32 minutes. how long did it take Charlotte to finish the word search?

Answer 1

In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took Terrence:

`\text{Time}=\huge \text((3)/(4) \huge \text)(32)`

`\text{Time}=\huge \text((96)/(4) \huge \text)`

`\text{Time}=24`

So now we know that It took Terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:

`\text{Time}=\huge \text((2)/(3) \huge \text)(24)`

`\text{Time}=\huge \text((48)/(3) \huge \text)`

`\boxed{\underline{\bold{Time=16}}}`