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

Related Maths GCSE answers

All answers ▸

Harry mixes white paint and blue paint in the ratio 2:5. He makes a total of 21 litres of paint. How much more blue paint does he need to add to the mixture so that the ratio of white paint to blue paint becomes 1:4?


Show that n^2 -n - 90 = 0


Solve the simultaneous equations: 2x - y = 1, 3x + y = 14


There is a right angled triangle, you know the length of the hypotenuse (6) and one other side (3), can you calculate the third side of the triangle?