Quiz 5/30
A man can do a job in 16 days. His father takes 22 days and his son finishes it in 24 days. How long will they take to complete the job
if they all work together?
Answers
Step-by-step explanation:
A=1/16
B=1/22
C=1/24
then
X*((1/16)+(1/22)+(1/24))=1
X*(33+24+22/528)=1
X*(79/528)=1
X=528/79
X=6.68354430
Given,
A man can do in 16 days
His father can do in 22 days
His son can do it in 24 days.
To Find,
If they will work together then time of completion.
Solution,
In 16 days a man can finish this whole work.
Means, in 1 day he works=1/16 work
Then in 22 days his father can finish this work.
That means, in 1 day ,he will do 1/22 work
Then his son in 24 days able to finish it
In 1 day his work is 1/24
So ,if they all will work together,
(1/16)+(1/22)+(1/24) work will be do per day.
Here ,lets take the no of days as x.
So. x ×((1/16)+(1/22)+(1/24))=1
⇒x × (33+24+22/528)=1
⇒x ×(79/528)=1
⇒x = 528/79
⇒x =6.68
Hence, they will take 6.68 days to complete this job if they all work together.