Question

X can complete a work in 12 days working 7 hours a day we can complete the same work in 8 days working in 9 hours a day if x and y working together working 7 hours a day ?​

Answer 1

Answer:

The required answer is $5.54$ days.

Step-by-step explanation:

Working days: Any day that you work counts as a working day. Working day is most generally used to describe one of the days of the workweek, the period of (often five) days that are not the weekend and during which the majority of people are employed. The terms "workday" and "workweek" are interchangeable for "working day" and "working week," respectively.

Given: In comparison to $X$, who can do a task in $12$ days while working $7$hours per day, we can finish the same task in $8$ days while working $9$ hours per day.

To find:  work can be completed in --- days.

$X$ takes $12*7= 84$ hours to finish the work.

So in 1 hour he does $\frac{1}{84}$ of the work.

$y$ takes $8*9 = 72$ hours to do the work.

So B in $1$ hour does $\frac{1}{72}$ of the work.

So in $1$ day $7$ hours together they will finish $\frac{7}{84} +\frac{7}{72} = \frac{1}{12} + \frac{7}{72}=\frac{6+7}{72}=\frac{13}{72}$ of the work.

Together they will take $\frac{72}{13}=5.54$ days.

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