SOLUTION: It takes you 32 minutes to build a sand castle by yourself and it takes your sister 37 minutes to build a sand castle by herself. How many minutes does it take the two of you to bu

Question 792375: It takes you 32 minutes to build a sand castle by yourself and it takes your sister 37 minutes to build a sand castle by herself. How many minutes does it take the two of you to build 9 sand castles? Round answer to nearest tenth.

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Uniform Rates, Task-Completion Problem.
The task is "build a sand castle". The rate would be in units of tasks per minute.

You, 1/32 castles per minute
Sister, 1/37 castles per minute
The rate of You + Sister working together is simply the sum of those two rates.

Let the unknown time in minutes to build 9 castles be m.

Solve for m. A useful guideline is to hold all the computations until AFTER you solve for m; and then finish by performing the computations.

---------this is now where you would want to finish with the computations.
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