Question

Five carpenters working at the same rate can finish a school's furniture order in 8 days. What part of the order will one carpenter complete in 4 days?

Answer 1

Answer:  $\frac{1}{10}$ of the order.

Step-by-step explanation:

1. You have that number of carpenters decreases from 5 carpenters to 1 carpenter. Therefore, this decreases by the following factor:

$factor_{1}=\frac{1}{5}$

2. The number of days decreases from 8 days to 4 days. Then, the factor is:

$factor_{2}=\frac{4}{8}=\frac{1}{2}$

3. The order is a furniture, therefore, you can solve the problem as following, where $x$ is the part of the order completed by one carpenter in 4 days:

$x=(order)(factor_{1})(factor_{2})\\x=(1)(\frac{1}{5})(\frac{1}{2})\\x=\frac{1}{10}$