Question

A factory employee worked 3/4 of an hour to finish 2/5 of a project. At this rate, how many additional hours will the

employee require to finish the project?
0.45
0.5
1.125
01.25
1.875

Answer 1

The factory employee will require an additional 1.125 hours to finish the remaining 3/5 of the project, after already working 3/4 of an hour to complete 2/5 of the project.

Step-by-step explanation:

The question asks how many additional hours a factory employee requires to finish the whole project if they worked 3/4 of an hour to complete 2/5 of the project.

First, we determine the rate of work by dividing the time worked by the fraction of the project completed: (3/4) hours / (2/5). Simplifying this gives us (3/4)×(5/2) = (15/8) hours to complete 1 whole project (or 5/5 of the project).

Now, to find out how many hours are needed to complete the remaining 3/5 of the project, we multiply the rate by the remaining fraction: (15/8)×(3/5) = 45/40 = 1.125 hours.

Therefore, the employee will require an additional 1.125 hours to finish the project.

Answer 2

1.125 =x

Step-by-step explanation:

We can use ratios to find the time

We want to find the time needed to finish

1 - 2/5 = 3/5 We need the time for 3/5 of the project

3/4 hours x hours

---------------- = --------------

2/5 project 3/5 project

Using cross projects

3/4 * 3/5 = 2/5 * x

9/20 = 2/5x

Multiply each side by 5/2

9/20 * 5/2 = x

9/8 = x

1 1/8 =x

1.125 =x