Question

if two painters paint two rooms in two hours then how many painters would be required to paint 18 rooms in six hours? explain..how to use proportionality in this?

Answer 1

Think of it as number of rooms per painter per hour or number of rooms per painter-hour.

Answer 2

In the first instance you have two painters working for two hours so that is 4 "painter-hours". If they can paint two rooms with 4 "painter-hours", then we can infer that each room takes two "painter-hours" to complete.

Answer 3

How many painter-hours does it take to complete 18 rooms?

Answer 4

i dont understand it please explain again..sorry

Answer 5

1p-h is a measure of work. We know that one room can be completed with 2 p-h's.

Answer 6

1 guy working for 5 hours might get the same amount of work done that five guys working for 1 hour could do. In each case they complete 5 p-h's of work.

Answer 7

Here's another way to look at it:

You have 18 rooms which need to be painted in 6 hours. So you need to paint 3 rooms per hour which is the same as 6 rooms every 2 hours. If 2 painters can paint 2 rooms in 2 hours then how many painters would it take to paint 6 rooms every 2 hours?

Answer 8

6

Answer 9

thank you @Shane_B ...thank you@valpey

Answer 10

Cheers!

Answer 11

Good luck :)

Answer 12

I got the answer as 54..
Am I right??
Just wanted to know..

Answer 13

For this question??

Answer 14

Yes..
I don't know how but I use the proportionality and chain rule for this..

Answer 15

That answer doesn't even make logical sense :)

Answer 16

The answer is 6!

Answer 17

54 painters would paint 27 rooms in the first 2 hours!

Answer 18

I check it once more..
We have to paint 18 rooms in 6 hours..

Answer 19

Maybe you've misread the question :)

Answer 20

I have just solved like this using proportionality....:
I show you..

Answer 21

Yeah I got it, I found the mistake..

Answer 22

I think you're over-complicating this :)

Answer 23

Let the painters required be x
So,

More rooms, More Painters (Direct Proportion)

More Hours, Less Painters (Indirect Proportion)

So,

Rooms Proportion is : 2:18

Hours Proportion is : 6:2

And Painter Proportion is : 2:x

So,

\[\frac{2}{18} \times \frac{6}{2} = \frac{2}{x}\]

\[x=6..\]

Answer 24

That makes more sense!

Answer 25

12 ???