Problema Solution

Marcus and Tony work for​ Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 6 hours. Tony lays the same size slab in 2 hours. If both work on the job and the cost of labor is $ 40.00 per​ hour, decide what the labor estimate should be.

Answer provided by our tutors

The rates of Marcus and Tony combine by addition when they work together. "Lay a slab of concrete" is 1 job. Treat the rates as the number of jobs per hour.

Marcus' rate is 1/6 job per hour.

Tony's rate is 1/2 job per hour.

Tony and Marcus at the same time work at rate R jobs per hour.

1/6 + 1/2 = R

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click here to see the equation solved for R

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R = 2/3 job per hour or this means that they will work 1/R = 1(2/3) = 1.5 hours to finish the job together.

The labor estimate will be 1.5*40 = $60.