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The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

To answer this question we need to divide the hours needed to complete work (200) by how much a person works a week (35). The key aspect of this question that catches people out is that when dividing 200 by 35 we don't end up with an integer (whole number), but this is what the question asks for (since you can't have a fraction of a person).

200/35 = 5.71 to 2 decimal places. However, in order to complete this question we need an integer, which would be either 5 or 6. Since the question requires at least 200 hours to be completed the answer is 6, as 5 people wouldn't be able to complete the 200 hours needed.

Tom P. GCSE Maths tutor

8 months ago

Answered by Tom, a GCSE Maths tutor with MyTutor


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The work in an office takes 200 hours to complete every week. Each person in the office works 35 hours a week. What is the smallest number of people needed to complete the work?

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