Answer:
His classmate can complete the work in 4.5 days
Step-by-step Explanation :
Given : John can do a piece of work in 9 days.
He and his classmate together complete the same work in 3
days..
To find : In how many days can his classmate does the work = ?
John can complete the work alone in 9 day's --------- ( given )
So John's one day work = 1/9
Let's assume that his classmate work for x day's
Therefore classmates one day work = 1/x
According to given conditions,
1/9 + 1/x = 1/3
1/x = 1/3 - 1/9
= 9-3/27
= 6/27
= 1/4.5
x = 4.5
So, His classmate can complete the work in 4.5 days
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Verified answer
Answer:
His classmate can complete the work in 4.5 days
Step-by-step Explanation :
Given : John can do a piece of work in 9 days.
He and his classmate together complete the same work in 3
days..
To find : In how many days can his classmate does the work = ?
John can complete the work alone in 9 day's --------- ( given )
So John's one day work = 1/9
Let's assume that his classmate work for x day's
Therefore classmates one day work = 1/x
According to given conditions,
1/9 + 1/x = 1/3
1/x = 1/3 - 1/9
= 9-3/27
= 6/27
= 1/4.5
x = 4.5
So, His classmate can complete the work in 4.5 days
[tex]1 \: hour \: work \: of \: John = \frac{1}{9} [/tex]
[tex]1 \: hour \: work \: of \: Classmate = \frac{1}{3} [/tex]
[tex]1 \: hour \: of \: both = \frac{1}{9} + \frac{1}{3} [/tex]
[tex] = \frac{1 + 3}{9} [/tex]
[tex] = \frac{4}{9} [/tex]
[tex]So \: Together \: can \: do \: this \: job[/tex]
[tex] = \frac{9}{4} \times 100[/tex]
[tex] = 25 \times 9[/tex]
[tex] = 225 \: minutes[/tex]