A crew of ten workers was hired to complete a job in 8 days. After working for two days, there was a new request to complete this job in two days. How many more workers need to be hired to finish this job in 2 days?

They would need to hire 20 more workers because they are 1/4 of the way done after the first two days. And that means they need to be 3/4 of the way done in the next 2 days, that means they have to be 3 times as productive from the first day and 10 times 3 equals 30, but they already have 10, so 30 - 10 = 20
THEY NEED 20 more workers
I hope it helps

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chisnau chisnau · Answer 2 · 2019-10-22T09:16:23+02:00

Answer:

29 more workers are needed.

Step-by-step explanation:

Let us assume that the 10 workers, working at their normal rate would finish the job in exactly 8 days.

The rate of working for 1 worker is:

[ 1/10 of the job ] / [ 8 days ] = [ 1 job ] / [ 80 days ]

This is also [ 1/80 of the job ] / [ 1 day ]

In 2 days, the fraction of the job that gets done is:

[tex]2\times \frac{1}{80}=\frac{1}{40}[/tex]

Job left = [tex]1-\frac{1}{40} =\frac{39}{40}[/tex]

Now the rate has to be :

[tex]\frac{\frac{39}{40} }{2} =\frac{39}{80}[/tex]

Now, let w be the additional number of workers needed.

We get:

[tex]\frac{10+w}{80}=\frac{39}{80}[/tex]

Solving for w;

[tex]10+w=39[/tex]

[tex]w=39-10[/tex]

w = 29

Therefore, 29 more workers are needed.

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There can be another approach as well.

Fraction of the job done by 10 workers in 2 days = 1/4

Remaining fraction = 1-1/4 = 3/4

Lets say W workers are needed more.

So, we can say that 3/4 of the work is to be done by 10+W workers.

Hence, it will take a total of 30 workers to complete the job.

Making it additional 20 workers.