Every week, Linda must stuff 1000
envelopes. She can do the job by herself in 6 hours. If
Laura helps, they get the job done in 5�
1
2� hours. How long
would it take Laura to do the job by herself ?
What does this part mean?
Laura helps, they get the job done in 5�
1
2� hours.
Please fix.
41/2miles away would i arrived on time to start work 11 am
To find out how long it would take Laura to do the job by herself, we can use a concept called "work rate". The work rate of a person is the amount of work they can do in a unit of time.
Let's assign work rates to Linda and Laura. Linda's work rate is 1 job per 6 hours because she can do the job by herself in 6 hours. Laura's work rate is still unknown, so let's denote it as "x" jobs per hour since we want to find out how long it would take Laura to do the job by herself.
Next, let's calculate the combined work rate when Linda and Laura work together. In this case, the work rate of Linda and Laura working together is 1 job per 5.5 hours because they can finish the job in 5 and a half (1/2) hours.
Using the concept of work rates, we can set up the following equation:
Linda's work rate + Laura's work rate = Combined work rate
1/6 + 1/x = 1/5.5
Now, let's solve the equation to find the value of x, which represents Laura's work rate (jobs per hour).
Multiply every term in the equation by 6 * 5.5 * x to eliminate the denominators:
5.5x + 6 * 5.5 = 6x
27.5 = 6x - 5.5x
27.5 = 0.5x
Divide both sides of the equation by 0.5 to isolate x:
27.5 / 0.5 = x
x = 55
Therefore, Laura's work rate is 55 jobs per hour, which means she can do the job by herself in 1 hour.
So, it would take Laura 1 hour to complete the job by herself.