Simple QR problem

[Contach]

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Can som1 explain this to me? Particularly why my method of using ratios doesnt work?
2. It takes five painters twelve days to paint a certain office. How long would it take six painters to paint an office with 50% more wall space?

A. 10 days

B. 14.4 days

C. 15 days

D. 16 days

E. 21.6 days

 

[AdaAda87]

Is the answer E first?

I did it this way if it is E.

5=12/x
solve for X then plug back into new eq.
6=days/1.5x

so it 21.6 days.

 

[huk1985]

Yea, I'm not sure about this either. is it E?

 

[d wannabe]

Is the answer C. If I'm right I can tell you how I did it, but I'm not sure if I'm right..

yes. I got C as well

 

[Andrew324]

So whats the final answer? C? thats my guess

 

[Mamona]

I got C as well

5 = w/12 (1st equation)
6 = (w + (w x 0.5))/ y (2nd equation)

I solve the first equation for w and I got 60. I solve second equation with this value. I hope this is correct

 

[PooyaH]

Is the answer E first?

I did it this way if it is E.

5=12/x
solve for X then plug back into new eq.
6=days/1.5x

so it 21.6 days.

What you doin' dude!?

it takes 5 workers to do a job in 12 hrs which means 5 workers paint 60 walls let's say (5 x 12 = 60)

Now 50% of 60 is 30 so 60 + 30 = 90 walls to be painted

So 6 worker do 90 walls in 15 hrs! 90 / 6 = 15hrs!

 

[DELTA888]

can Som1 Explain This To Me? Particularly Why My Method Of Using Ratios Doesnt Work?
2. It Takes Five Painters Twelve Days To Paint A Certain Office. How Long Would It Take Six Painters To Paint An Office With 50% More Wall Space?

a. 10 Days

b. 14.4 Days

c. 15 Days

d. 16 Days

e. 21.6 Days

(5)(12)= 1
(6)(x) 1.5

X=15 Days (c) I Agree!

 

[klutzy1987]

Incorrect. If it takes 5 workers 12 days to paint 60 walls then to paint 90 walls it would take them 1.5x more time therefore it would take them 18 days.
Now 5/18=6/x This comes uot to 21.6 which is choice E.

 

[DentalDeac]

Incorrect. If it takes 5 workers 12 days to paint 60 walls then to paint 90 walls it would take them 1.5x more time therefore it would take them 18 days.
Now 5/18=6/x This comes uot to 21.6 which is choice E.

you forgot that they are adding a 6th worker. so just divide 90/6 and you get 15

 

[klutzy1987]

you forgot that they are adding a 6th worker. so just divide 90/6 and you get 15

Ugh i screwed up. If it takes 5 workers 18 days, then 6 if you have 6 workers you have increased the workers by 6/5 or 1.2. Therefore since the amount of workers and the time required is indirectly proportional, you would have to divide the original time by 6/5. Therefore 18/(6/5)=90/6=15

My bad before i was spacing out or something and i made a direct proportion as opposed to an indirect proportion like it should have been. Oops lol.

 

[Contach]

Ugh i screwed up. If it takes 5 workers 18 days, then 6 if you have 6 workers you have increased the workers by 6/5 or 1.2. Therefore since the amount of workers and the time required is indirectly proportional, you would have to divide the original time by 6/5. Therefore 18/(6/5)=90/6=15

My bad before i was spacing out or something and i made a direct proportion as opposed to an indirect proportion like it should have been. Oops lol.

he means directly and inversely right? not directly and indirectly?

And also, when you do 5workers x 12weeks = 60. What would be the units for 60? work week? what does this mean to you?

thanks

 

[klutzy1987]

he means directly and inversely right? not directly and indirectly?

And also, when you do 5workers x 12weeks = 60. What would be the units for 60? work week? what does this mean to you?

thanks

Correct i mean direct and inverse.---> same thing as direct and indirect.

The 90 is just making up any number you dont really use it in the equation. The equation is as the workers go up to 6/5 the time gets divided by 6/5

 

[PooyaH]

he means directly and inversely right? not directly and indirectly?

And also, when you do 5workers x 12weeks = 60. What would be the units for 60? work week? what does this mean to you?

thanks

60 would be the amount of job that is done by 5 workers in 12 hours! In this problem I'd just think of it as amount of wall space painted by 5 workers!