SOLUTION: Sixty men can build a wall in 40 days, but though they begin the work together, 5 men quit every ten days. The time needed to build the wall is

Algebra ->  Test -> SOLUTION: Sixty men can build a wall in 40 days, but though they begin the work together, 5 men quit every ten days. The time needed to build the wall is      Log On


   



Question 945774: Sixty men can build a wall in 40 days, but
though they begin the work together, 5 men
quit every ten days. The time needed to build
the wall is

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Working on the wall, you have:
60 men for 10 days
55 men for 10 days
50 men for 10 days
45 men for 10 days
40 men for 10 days
etc.
------------------
60 men build 1 wall in 40 days
1 man builds 1/60 of a wall in 40 days
1 man builds 1/240 of a wall in 10 days
----------------------------------
60 men build +60%2F240+=+1%2F4+ of a wall in 10 days
55 men build +55%2F240+=+11%2F48+ of a wall in 10 days
50 men build +50%2F240+=+5%2F24+ of a wall in 10 days
45 men build +45%2F240+=+9%2F48+ of a wall in 10 days
--------------------
This sequence is:
+12%2F48+%2B+11%2F48+%2B+10%2F48+%2B+9%2F48+ etc.
walls
I want the time for just 1 wall
+12+%2B+11+%2B+10+%2B+9+%2B+8+=+50+ too much time
+12+%2B+11+%2B+10+%2B+9+=+42+ too little time
+42%2F48+%2B+6%2F48+ is the answer
+%28+6%2F8+%29%2A10+=+7.5+ days
------------------------
+10%2A4++=+40+ days
+40+%2B+7.5+=+47.5+
My answer is 47.5 days to build the wall
This is while 40 men are working on it
Hope I got it