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[Dental2000]

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It takes 5 painters 12 days to paint a certain office.How long would it take 6 painters to paint an office with 50% more wall space?

any help would be great

 

[PooyaH]

If it takes 5 painters to do a job in 12 days, then you can say that the entire job is 60 (5 x 12). So 50% more wall space would increase your entire job by 30 (90 = 60 x 1.5). Now you can just set up an equation:

90 = (6).(x)

x = 90/6

x = 15 days

 

[LetsGo2DSchool]

It must be a really big office.

 

[Dental2000]

ok I din understand a thing what you just did...

the entire job is 60 what?

whats 1.5?

and what is x?

 

[NewBee12]

If it takes 5 painters 12 days then it will take a single painter 60 days to paint the office. If the office space is increased by 50% then it would take the single worker 60x1.5= 90 days. Therefore for 6 painters it will take 90/6 = 15 days

 

[PooyaH]

ok I din understand a thing what you just did...

the entire job is 60 what?

whats 1.5?

and what is x?

lol. This is a distance = speed x time type of problem. Except instead of distance you have a certain amount of job. Your speed would be the number of painters and your time would be the number of days.

So you need to get the amount of job first. For that you need to multiply your rate (6 painters) by your time (12 days), so (6 painters).(12 days) = 60 (you can call this whatever you wish: wall, job, etc.. bottom line, it's that amount of job that is being done by 6 painters in 12 days).

Now it's saying you have increased your wall size (let's say) by 50%. So 50% of 60 is 30, therefore 60 + 30 = 90 (your new wall size to be painted) That's where I got the 1.5 from: 60 x 1.5 = 90 (if you don't know this, then you have lots of studying to do).

So you can now that you have the amount of new wall size to be painted you can set up the equation:
job = painters x days
90 = 6 painters x days
days = 90/6
days = 15

Hope it helps!

 

[PooyaH]

If it takes 5 painters 12 days then it will take a single painter 60 days to paint the office. If the office space is increased by 50% then it would take the single worker 60x1.5= 90 days. Therefore for 6 painters it will take 90/6 = 15 days

Actually I like this explanation a lot better lol.

 

[Dental2000]

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