Victor's work involves completing a set of similar tasks. When supervised, he is able to finish each task four days quicker than when he is not supervised. If he works for 160 days and is supervised for two-thirds of that time, he will accomplish a total of 40 tasks. How many days would it take Victor to finish 10 tasks without supervision?

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Correct

100

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Official Explanation

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To find the time taken for 10 tasks without supervision, we first set up the equation: 64/(x-4) + 96/x = 40. This simplifies to x^2 - 8x + 16 = 0, which factors to…

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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.