Question

Question 1 Part A One of Maria and Josie’s early tasks is printing and laminating signs to hang at local businesses around town. Working alone, Maria could print and laminate the signs in 4 hours. Josie, however, has better laminating equipment, so she could get the job done by herself in 2 hours. If each works for the same amount of time, how long will it take them working together to print and laminate the signs? Start by filling in the table with the missing values or expressions. Note that rate of work is a unit rate that describes the amount of the job completed in one hour. . Part B Use the table in part A to create an equation. Then, solve it to find out how long will it take for Maria and Josie to complete the job together.

Answer 1

Using the table

Maria does 1/4 of the job in 1 hour since it takes her 4 hours to complete the job , she works x hours and completes x/4 of the task

Josie does 1/2 of the job in 1 hour since it takes her 2 hours to complete the job , she works x hours and completes x/2

x/4 + x/2 = 1 completed task

Multiply by 4

x/4 *4 + x/2*4 = 1*4

x+2x =4

3x=4

x = 4/3

x = 1 1/3 hours

Answer 2

1 hr 20 min

Explanation:

Part A

Maria

1/4 ===== x ===== x/4

Josie

1/2 ===== x ===== x/2

Part B

Worked together they complete in one hour:

• 1/4+1/2 = 3/4 of job

to complete the job they need:

• 1: 3/4= 4/3 hr= 1 hr 20 min