Question

Ten people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?

a) 7/10
b) 10/7
c) 5/7
d) 715

Answer 1

To determine how much of the building 7 people could paint in 5 days, calculate the work done by one person and multiply that by 7. The correct answer is 7/10, meaning 7 people could paint 70% of the building.

Step-by-step explanation:

The problem stated is that ten people can paint a building in 5 days. We are to determine how much of the building 7 people could paint in the same amount of time if each person paints as quickly as the others. To solve this, we first calculate the total amount of work that 10 people can do in 5 days, which we will consider as 1 whole building or 100% of the work. We then find out how much 1 person can paint in 5 days by dividing 100% by 10, which gives us 10%. Since 7 people will be painting, we multiply 10% by 7, which gives us 70%. Therefore, 7 people can paint 70% of the building in 5 days, which is represented by the fraction 7/10. So, the correct answer is a) 7/10.