If Marcus and Latrell can construct a particular brick house in 6 and 4 hours, respectively, how much will Marcus earn per hour when they collaborate at a rate of $40 per hour, sharing their earnings based on their individual contributions?

Correct answer marked below

$10

$16

Correct

$24

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Explanation

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Official Explanation

Official

Marcus can complete

\frac{1}{6}

of the house in one hour, while Latrell can finish

\frac{1}{4}

in the same time. Together, they can accomplish

\frac{1}{6}

\frac{1}{4}

\frac{5}{12}

of the house in one hour. To find the fraction of the work done by Marcus, we calculate

\frac{1/6}{5/12}

=…

Comments

RohitMar 11, 2024

thanks

What this question tests

Your ability to combine individual work rates, usually by working with the fraction of a job completed per unit of time.

Adding the times instead of the rates, or forgetting to take the reciprocal when combining rates.