If worker X can complete a task in 12 days and worker Y can finish it in 8 days, they agreed to complete the task together for $600, distributing the money in proportion to the work done. With the assistance of worker Z, they managed to finish it in 4 days. How much should Z receive?

Answer Choices

Correct answer marked below

$300

$240

$180

$120

$100

Correct

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Explanation

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Official Explanation

Official

The least common multiple of 12 and 8 is 24 units. The work rates are as follows: X completes 2 units per day (24/12), Y completes 3 units per day (24/8), and Z's rate is unknown. In 4 days, the total work…

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Comments

ArinNov 24, 2024

thanks for taking time to upload it!

What this question tests

What it tests

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

Common trap

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