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.

TP
Answered by Tom P. Maths tutor

6707 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.


Solve: a) 5t + 17 = 2 b) x^3 - 25 = 103 - x^3


Make x the subject of the following formula: 2x-4=2y.


Tom's dad is 3 times older than him. In 15 years the sum of Tom's and his dad's ages will be equal to 102. How old are Tom and his dad now?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning