P can complete a work in 12 days working 8 ho | vedclass

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Question

(A) Total work done by $P$ in terms of hours = $12 	imes 8 = 96$ hours.Total work done by $Q$ in terms of hours = $8 	imes 10 = 80$ hours.Work done

Vedclass · Accepted Answer

$5 \frac{5}{11}$

Vedclass · Answer

(A) Total work done by $P$ in terms of hours = $12 	imes 8 = 96$ hours.Total work done by $Q$ in terms of hours = $8 	imes 10 = 80$ hours.Work done by $P$ in $1$ hour = $\frac{1}{96}$.Work done by $Q$ in $1$ hour = $\frac{1}{80}$.Combined work done by $P$ and $Q$ in $1$ hour = $\frac{1}{96} + \frac{1}{80} = \frac{5 + 6}{480} = \frac{11}{480}$.If they work together for $8$ hours a day,the work done per day = $8 	imes \frac{11}{480} = \frac{11}{60}$.Let the number of days be $x$. Then,$x 	imes \frac{11}{60} = 1$.$x = \frac{60}{11} = 5 \frac{5}{11}$ days.

$P$ can complete a work in $12$ days working $8$ hours a day. $Q$ can complete the same work in $8$ days working $10$ hours a day. If both $P$ and $Q$ work together,working $8$ hours a day,in how many days can they complete the work?

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