If Sue can paint a house in 5 hours and Sam can paint the same house in 6 hours, how long will it take both of

Question

How long will it take both Sue and Sam to paint the same house.
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Help, I don't understand how to arrive at an answer for this word problem. Math is not my strongest vein. Hopefully someone who excels in math can help. Your support is greatly appreciated!

Answer 1

If they've already painted it then 0mins, if not then it's 2 3/4 hours.

Answer 2

The realistic and correct answer is 12 hours. Sue and Sam will firstly discuss and argue who will paint the windows doors, garage door and gables = 2 hours
After a little while, Sam will ask Sue for a cup of tea, which will take another whole hour to finish, once she joins him, and spots other jobs that are needing attention. = 1 hour
After the tea break, Sue will start to think about garden planning and barbeque's. This will mean another long discussion covering plants and layout. 2 hours
With Sam's neighbour, John at home, a loose arrangement for golf is made over the fence =1 hour
John's wife, Deidre spots Sue and tells her all the gos. about the new couple up the road = 1 hour
Some painting has taken place, however = 4 hours
Sue, on standing back and looking at the job, decides on another shade of green and begins to try colour swatches around the house = 1 hour
Sam goes to the pub = 5 hours

Answer 3

I would look at it this way. If they were to paint it together and each do half, then Sue would paint her half in 2½ hours and Sam would take three hours to do his half. However, if they started together and worked together until the house was finished that would be the wrong answer. I don't think 2¾ hrs would be right either, but I'm not sure how I would work out the correct answer, which would be something like 2 hours and 43 minutes as a guess. Hope that there is a mathematician who can tell us the right way to tackle this problem.

Answer 4

Reworded: Sue can paint 1/5 of a house in an hour, and Sam can paint 1/6 of the same house in an hour.

Let T = the amount of time it takes by each contributing:
1/5 T + 1/6 T = 1
6/30 T + 5/30 T = 1
11/30 T = 1
T = 30/11

2.727 hours [727 is repeated]

And it is not 5.5... That's just taking the median of the two times, not finding how long it would take by combining the two to [just about] half the time it would take one of them.

Answer 5

Reworded: Sally can paint a million/4 of a house in an hour, and John can paint a million/6 of the comparable domicile in an hour. enable T = the quantity of time it takes with the help of each and every contribuing: a million/4 T + a million/6 T = a million 3/12 T + 2/12 T = a million 5/12 T = a million T = 12/5 2 hours 24 minutes

Answer 6

Im just going to give you the answer... NAH! Im gonna make you read a long explaination! MUAHAHA! (i suck at explaining stuff lol)
I see this like a fraction. 1/5 (1 hours 5 hours) and 1/6 (1 house 6 hours) First you find the common 'denominator' which is 30 (5x6=30 6x5=30) then of course you have to do the same with the numerator (1x6=6 1x5=5) so its now Sue: 6/30 and Sam: 5/30 which means Sue can paint 6 houses in 30 hours, Sam 5 houses in 30 hours (omfg 30 hours?!). Now you can add them (6/30+5/30=11/30) which means they can both paint 11 houses in 30 hours. Now you have to find out how long it'll take them to paint 1 house. So you do 11 divided by 11 to get 1 house. Now you have to go 30 (hours) divided by 11 which is 2.72727272727272 (so on) hours. So they can paint a house together in 2.7 hours. And, if you want to say it by hours and minutes then post up another question asking how many hours/minutes is 2.7 hours.

If your answering this for somebody, feel free to copy my answer XD

Answer 7

Sue paints at 1/5th of a house per hour. Sam paints at 1/6th of a house per hour. In one hour, 1/5th plus 1/6th of the house would be painted. which is 11/30ths of the house. The whole house will therefore take 30/11 hours, the reciprocal, which is 2 hours, 43 minutes, and 38 seconds.
In our house, I do the painting. My wife takes much longer choosing the colors. So in real life it might take Sam and Sue 30 or 40 hours.

Answer 8

5 and 6
2 1/2 and 3
1 1/4 and 1 1/2
1 1/4 and 1 2/4
2 3/4 hours.
2 45/60 hours
2 hours and 45 minutes.
I got this pretty easily. First you divide 5 and 6 in half, divide that in half, find the LCD, and add it togeher. To get the hours and minutes you would have to change the deneminator to 60, because there are sixty minutes in and hour. (4x15=60) Then multiply 3 by is, get 45. There you have it! They could paint the house in 2 hours and 45 minutes.

Answer 9

Well Sue could paint her half in 2.5 hours
and Sam could paint his half in 3 hours
Which gives you a total time of 5.5 hours!!
But the easy way is to say there are two painters(2P)
one can do it in 5 hours and on can do it in 6 hours
Therefore 2P = 5 + 6
2P = 11
P = 11/2
P = 5.5!!!
Isn't algebra a wonderful thing!!

Answer 10

First, thats a damn small house so I believe their original estimates are way off. So they will try to paint the house and after spending about 10 hours over their weekend they call in a painting contractor who will come in two weeks and paint the house in 4 hours with a team of 6 sprayers.

Actual man hours spent: about 34 hours. This is the answer to your question.

Answer 11

How I figure it is I take 5 hours from Sue and 6 hours from Sam and them together then divide it by two because there is two of them and divide it again because of the two houses and come up with
2.75 hrs. cause they both are going to paint 1 house.

Im really horrible at math so I take the long way around. I know there are suposidly easier ways but this one works for me, it might work for you.