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?
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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