SOLUTION: i'm having a hard time on solving this problem: A group of workers can do a job in 8 days. After this group had worked in 3 days, another group had joined. Together they complet

Question 478529: i'm having a hard time on solving this problem:
A group of workers can do a job in 8 days. After this group had worked in 3 days, another group had joined. Together they completed the job in three more days. How long could the second group have done the job alone?
please help me with this!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A group of workers can do a job in 8 days.
After this group had worked in 3 days, another group had joined.
Together they completed the job in three more days.
How long could the second group have done the job alone?
:
Let x = time required by the 2nd group to do the job
Let the completed job = 1
:
From the given information, we know that the 1st group worked 6 days & the 2nd group worked 3 days
:
A typical shared work equation, each group does a fraction of the job,
the two fractions add up to 1.
:
+ = 1
multiply by 8x, results:
6x + 3(8) = 8x
24 = 8x - 6x
24 = 2x
x =
x = 12 days for the 2nd group to do the job
:
:
See if this adds up:
6/8 + 3/12
3/4 + 1/4 = 1
:
:
Did this method make sense to you?
RELATED QUESTIONS
One group of workers can do a job in 8 days. After this group has worked 3 days, another... (answered by mangopeeler07)

One group of workers can do a job in 8 days. After this group has worked 3 days, another... (answered by ankor@dixie-net.com)

One group of workers can do a job in 8 days. After this group has worked 3 days, another... (answered by josmiceli)

One group of workers can do a job in 8days. After this group has worked 3 days, another... (answered by Theo)

Please help me solve these problems. I did them but the answer I'm getting seems way off. (answered by ankor@dixie-net.com)

A group of 40 workers can finish digging a tunnel in 12 days. how many workers can... (answered by Edwin McCravy)

PLS help me on this word problem.. 18 workers can finish a job in 5 days.how many workers (answered by nerdybill)

In 8 days, a group of workers can plant 56 acres. What is their rate in acres... (answered by ewatrrr)

Please help me solve this problem... i need it rn When john and marsha worked... (answered by stanbon)