SOLUTION: a painting job can be finished in 8 painters in 23 days. if 24 painters join the team 7 days after work on the job then how many more days are required to finish the job

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Question 151267: a painting job can be finished in 8 painters in 23 days. if 24 painters join the team 7 days after work on the job then how many more days are required to finish the job

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a painting job can be finished in 8 painters in 23 days. if 24 painters join the team 7 days after work on the job then how many more days are required to finish the job
:
First, find out how many man-days are required:
:
It says," a painting job can be finished in 8 painters in 23 days." therefore
Job requires 8 * 23 = 184 man-days
:
"if 24 painters join the team 7 days after work on the job then how many more days are required to finish the job"
Let t = no. of more days to accomplish this;
:
The first 8 painters will be on the job: t+7 days
:
Write a man-day equation
8(t+7) + 24t = 184
:
8t + 56 + 24t = 183
8t + 24t = 184 - 56
32t = 128
t = 128%2F32
t = 4 more day
:
:
Check solution:
8(11) + 24(4) = 184
;
Did my procedure make sense to you now?