Question

it took 4 days for 75 workers all sharing the work equally and working at the same rate to pave a one mile strech of road how many days would it take 50 of these workers to pave a 3 miles strecth of road show your work

Answer 1

From the question, we can deduce that:

It took 4 days for 75 workers to pave a one mile stretch.

Let's find how many days it would take 50 workers to pave a 3 miles stretch of road.

From the question, we can see the number of workers and the number of days are inversely proportional.

This is because if the number of workers increase, the number of days will decrease.

`y=(k)/(x)`

Thus, to find the number of days it will take the 50 workers to pave one mile, we have:

`(75*4)/(50)=(300)/(50)=6\text{ days}`

It will take 50 of the workers 6 days to pave one mile of the road.

To find the number of days it wil take the 50 workers to pave 3 miles of the road, we have:

Number of days to pave one mile = 6 days

Number of days to pave 3 miles = 6 x 3 = 18 days

Therefore, it would take 18 days for 50 of these workers to pave a 3 miles stretch of the road.

ANSWER:

18 days