Question

A builder was building a fence. In the morning, he worked for 2/5 of an hour. In the afternoon, he worked for 9/5 of an hour. How many times as long as in the morning did he work in the afternoon? Write a division equation to represent this situation, then answer the questions. Show your reasoning.

Answer 1

We have to express how much he worked in the afternoon in respect to the number of hours he worked in the morning.

He worked y = 9/5 hours in the afternoon and x = 2/5 hours in the morning.

We can calculate the proportion as the quotient between the hours he worked in the afternoon (y) and the number of hours he worked in the morning (x):

`k=(y)/(x)=((9)/(5))/((2)/(5))=(5)/(5)\cdot(9)/(2)=(9)/(2)`

Answer: the proportion of hours he worked in the afternoon in respect to the number of hours he worked in the morning is 9/2 = 4.5 times.