# If 15 workers can build a classroom in 30 days, how many days will it takes to 6 workers to build the same classroom?

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by SimEliza

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by SimEliza

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Since this is a work problem then we'll have rate.

15 workers can finish the job in 30 days so we'll have the rate as

R = 1/(t×n)

(R=rate per person)

R = 1/(30×15)

R = 1/450

----

If there are only 6 workers then

R=1/450

n=6

R=1/(t×n)

(1/450)=(1/6t)

cross multiply

6t=450

t=75

therefore it takes 75days for 6workers to do the same job.

15 workers can finish the job in 30 days so we'll have the rate as

R = 1/(t×n)

(R=rate per person)

R = 1/(30×15)

R = 1/450

----

If there are only 6 workers then

R=1/450

n=6

R=1/(t×n)

(1/450)=(1/6t)

cross multiply

6t=450

t=75

therefore it takes 75days for 6workers to do the same job.