need help! algebra question (answerandexplanation?) please!

User Generated

erorppno

Mathematics

Description

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?

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Explanation & Answer

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
 


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