need help! algebra question (answerandexplanation?) please!

label Algebra
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Vincent can sand a deck in 120 minutes.  Carlos can sand the same deck in 95 minutes.


Approximately how long would it take to sand the deck if Vincent and Carlos worked together?
Jan 6th, 2015

Let x be the time in minutes needed if they work together.

Then 1/120  +  1/95  =  1/x       Logic: Vincent can finish 1/120 of the work in one minute

                                                            Carlos can  finish 1/95 of the work in one minute,

                                                Working together, they will finish 1/x of the work in one minute


Multiply  11400 on both sides:  we get  95 + 120 = 11400/x


215 = 11400/x,  x = 11400/215 = 53.02 minutes
 

Jan 6th, 2015

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Jan 6th, 2015
Jun 24th, 2017
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