SOLUTION: If 5 men can manufacture 27 baskets in an hour, how many baskets would 15 men manufacture in 40 minutes?

Algebra.Com
Question 1130086: If 5 men can manufacture 27 baskets in an hour, how many baskets would 15 men
manufacture in 40 minutes?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
n men
r rate per man
t time in hours
w amount of work, number of baskets




---------
5 men can manufacture 27 baskets in an hour,
---------





---------
how many baskets would 15 men
manufacture in 40 minutes?
--
(40 minutes is .)
---------





.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Use the proportion


 = .     (*)


In this proportion,   represent 40 minutes as    of an hour,

and the proportion itself says that the rate of job of each man in one hour is the same in both cases.


Simplify (*)


 = ,   or    = ,


and then get final answer  x =   = 27*2 = 54.     ANSWER

Solved.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The proportion method shown by tutor @ilkeyn and the formula method shown by tutor @josgarithmetic are both good methods for solving problems like this.

My personal preference (what is easiest for me) is to consider how the number of baskets changes for each change in the parameters.

(NOTE: It will be good to understand and be able to use all three methods; for a particular problem, any one of the three might be the easiest to use.)

In this problem....

(1) The number of men increases from 5 to 15, an increase by a factor of 3; this will cause the number of baskets produced to increase by a factor of 3.
(2) The amount of time decreases from 1 hour (60 minutes) to 40 minutes, a decrease by a factor of 2/3; this will cause the number of baskets produced to decrease by a factor of 2/3.

So the number of baskets produced by 5 men in 1 hour (27), will get increased by a factor of 3 and decreased by a factor of 2/3:

(27)(3)(2/3) = 54.

ANSWER: 15 men in 40 minutes can produce 54 baskets.
RELATED QUESTIONS

if 15 men make 27 baskets in one hour. how many baskets 45 men will make in 40... (answered by josgarithmetic,ikleyn)
if 3 students can fill 4 baskets in 12 minutes, how many baskets can 4 students fill in... (answered by stanbon)
Jose can make 20 baskets in 2 minutes.At this rate,how many baskets can he make in 1 hour (answered by richwmiller)
A Basketball team scored 87 points in 2 point and 3 point baskets. If the 2 point... (answered by nerdybill)
Jonah makes 3 times more baskets than Maddie. They make 16 baskets in total. How many... (answered by ikleyn)
a machine can manufacture 1800 pencils in 30 minutes at this same rate how many minutes... (answered by TimothyLamb)
If 5 men can paint 26 houses within 3 days, how many houses can 15 men paint in 150... (answered by richwmiller)
A man can make 15 boxes in 10 minutes. How many boxes can 5 men make in 2 minutes? (answered by ankor@dixie-net.com)
12 men can finish half a job in 35 minutes; how many more men are needed if the remaining (answered by ankor@dixie-net.com)