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

$A$ does a work in $10$ $days$ and $B$ does the same work in $15$ $days$. In how many $days$ will they together do the same work?

$2$ men and $5$ women can finish a piece of work in $12$ days. $5$ men and $2$ women can finish the same work in $9$ days. In how many days can $3$ women finish the same work?

Bansal,Gupta,and Singhal together can complete a work in $4 \, \text{days}$. If Bansal and Gupta together can complete the work in $4 \frac{4}{5} \, \text{days}$,and Gupta and Singhal together can do it in $8 \, \text{days}$,then Gupta alone can complete the work in (in $\text{days}$):

There is sufficient food for $400$ men for $31$ days. After $28$ days,$280$ men leave the place. For how many days will the rest of the food last for the rest of the men? (in days)

$A, B$ and $C$ individually can do a work in $10\, days, 12\, days$ and $15\, days,$ respectively. The number of days required to finish the work by $A, B$ and $C$ working together is? (in $days$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module