SOLUTION: It takes 3 people 4 days to build a garage. A) How long does it take one person to build the garage? B)How long does it take four people to build the garage? C)How many people

Algebra ->  Average -> SOLUTION: It takes 3 people 4 days to build a garage. A) How long does it take one person to build the garage? B)How long does it take four people to build the garage? C)How many people      Log On


   



Question 1205910: It takes 3 people 4 days to build a garage.
A) How long does it take one person to build the garage?
B)How long does it take four people to build the garage?
C)How many people are needed to build the garage in 2 days?

Found 3 solutions by ikleyn, josgarithmetic, greenestamps:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
It takes 3 people 4 days to build a garage.
A) How long does it take one person to build the garage?
B)How long does it take four people to build the garage?
C)How many people are needed to build the garage in 2 days?
~~~~~~~~~~~~~~~~~~~

The entire job is 3*4 = 12 man-days.

From here


    (a)  one person will complete this job in 12:1 = 12 days;


    (b)  four persons will complete this job in 12:4 = 3 days;


    (c)  to make this job in 2 days, 12:2 = 6 persons are needed.

That's all.

-------------------

To see many other similar  (and different)  problems,  solved by the same method,  look into the lesson
    - Rate of work problems
in this site.

It was written specially for you,  to make your horizon  WIDER.

Consider this lesson as your textbook,  handbook,  guide,  tutorials and  (free of charge)  home teacher.


Be trained in solving rate of work problems.


Come again to this forum soon to learn something new  ( ! )



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, the work rate for 1 person

If one job is "build a garage", the description is %283r%29%284%29=1.
This means, r=1%2F12 or one person needs 12 days to build a garage.


How much time for 4 people?
%284%281%2F12%29%29x=1
x=3-----three days


How many workers to do the job in 2 days?
n workers
n%281%2F12%29%2A2=1

%28n%29%281%2F6%29=1

n=6

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor shows one common method for answering the questions by finding the total number of man-days it takes to build the garage.

A different way for solving problems like this is to look at how each change in the numbers affects the other numbers.

We are given that it takes 3 people 4 days to build the garage. Using that information....

A) How long does it take one person to build the garage?
1/3 as many workers means 3 times as many days. ANSWER: 4*3 = 12

B) How long does it take four people to build the garage?
4/3 as many workers means 3/4 as many days. ANSWER: (3/4)*4 = 3

C) How many people are needed to build the garage in 2 days?
Half as many days means twice as many workers. ANSWER: 3*2 = 6