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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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?

Similar Questions

If $x$ men can do a piece of work in $x$ days,then the number of days in which $y$ men can do the same work is (in days)

$P, Q, R$ are employed to do a work for $Rs. 5750$. $P$ and $Q$ together finished $\frac{19}{23}$ of the work,and $Q$ and $R$ together finished $\frac{8}{23}$ of the work. The wage of $Q$ (in rupees) is:

$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

$P$,$Q$ and $R$ contracted to do a work for $Rs. 4200$. $P$ can do the work in $6$ days,$Q$ in $10$ days and $R$ in $12$ days. If they work together to do the work,what is the share of $R$ (in $Rs.$)?

$P, Q$ and $R$ undertake to do a work for $Rs. 707$. $P$ and $Q$ together do $\frac{5}{7}$ of the work and the rest is done by $R$ alone. How much should $R$ get? (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module