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There are 40 apartment buildings in their current project.

A. If the foreman wants to do the project in 20 days, how many people should he hire?

B. A crew of 3 painters could paint one building in _____ days.

You can answer using any method you like, but the final result must be in ratio/proportion form. Please explain your reasoning.

You can answer using any method you like, but the final result must be in ratio/proportion form. Please explain your reasoning.

You can answer using any method you like, but the final result must be in ratio/proportion form. Please explain your reasoning.

2007-04-24 02:27:51 · 5 answers · asked by Arthur Q 3 in Science & Mathematics Mathematics

5 answers

A.
Painting at the same rate, a crew of 4 will take 40 * 5 days to paint 40 apartments.
1 man will take 40 * 5 * 4 days
To complete the job in 20 days, the number of men needed is:
40*5*4 / 20 = 800 / 20 = 40 men, a ratio of 10:1 in relation to the original 4 men.

B.
4 men take 5 days to paint 1 building.
3 men take 5 * 4 / 3 = 20/3 days, a ratio of (20/3):5 = 4:3 in relation to the original number of days.

Please note that you are not supposed to repeat questions.

2007-04-24 02:51:33 · answer #1 · answered by Anonymous · 0 0

If 4 workers need 5 days for one building then it requires 20 person-days to paint one building.

A) So 40 buildings would require 40 x 20 = 800 person-days. If he wants to do the job in 20 days then he needs to hire 800/20 = 40 workers.

B) With a crew of 3 one building would take 20/3 = 6.67 days

2007-04-24 02:40:44 · answer #2 · answered by mattkuenzel 1 · 0 0

Question A
4 men will take 200 days for 40 apartments
5 days<----> 4 men
200 days<---->(200/5) x 4 men = 160 men
He should hire another 156 men

Question B
4 men<---->5 days
3 men<---->(4/3) x 5 days = 20/3 days
3 men will take 6 and 2/3 days = 6.67 days

2007-04-24 02:40:18 · answer #3 · answered by Como 7 · 0 0

you're able to do it this way. First you comprehend that a million/4 of the abode or 25% grew to become into painted in 9 days and via 5 painters. the 1st step is to divide it in accordance to the kind of days (because of fact your objective is to get how plenty a million painter did in a million day). for this reason you get a million / 36. then you definately divide it via the kind of painters. You get a million / a hundred and eighty. that's how plenty one painter painted in a single day. Now you may desire to work out how plenty first may be performed via that one painter in 7 days via now multiplying it as a substitute of dividing. You get 7 / a hundred and eighty. Then how plenty grew to become into performed via 8 painters. then you get fifty six / a hundred and eighty. As an answer you get approximately .311111111 or 31%. you're surely doing a million(8 painters)(7 days) / 4 (5 painters) (9 days) abode this way you spot the painters and days contraptions cancel out and you're basically left with abode :) i'm hoping this helps.

2016-10-30 04:23:31 · answer #4 · answered by Anonymous · 0 0

Pardon, what were the instructions again? LOL!

2007-04-24 02:36:56 · answer #5 · answered by kittykatts 4 · 3 1

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