P and Q together can do a job in 6 days. Q an | vedclass

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

Question

(B) $(P+Q)$'s $1$ day work $= 1/6$.$(Q+R)$'s $1$ day work $= 7/60$.Let $P$ alone take $x$ days to finish the work.According to the question,$P$ worked

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) $(P+Q)$'s $1$ day work $= 1/6$.$(Q+R)$'s $1$ day work $= 7/60$.Let $P$ alone take $x$ days to finish the work.According to the question,$P$ worked for $3$ days and $(Q+R)$ worked for $6$ days to complete the total work ($1$ unit).So,$3/x + 6 	imes (7/60) = 1$.$3/x + 42/60 = 1$.$3/x + 7/10 = 1$.$3/x = 1 - 7/10 = 3/10$.$x = 10$ days.$Q$'s $1$ day work $= (P+Q) - P = 1/6 - 1/10 = (5-3)/30 = 2/30 = 1/15$.$R$'s $1$ day work $= (Q+R) - Q = 7/60 - 1/15 = (7-4)/60 = 3/60 = 1/20$.$R$ alone takes $20$ days to finish the work.The difference in days taken by $R$ and $P$ is $20 - 10 = 10$ days.

$P$ and $Q$ together can do a job in $6$ days. $Q$ and $R$ can finish the same job in $60/7$ days. $P$ started the work and worked for $3$ days. $Q$ and $R$ continued for $6$ days. Then the difference of days in which $R$ and $P$ can complete the job is

Similar Questions

$A$ can complete a work in $10$ days,$B$ in $12$ days,and $C$ in $15$ days. All of them began the work together; but $A$ had to leave the work after $2$ days of the start and $B$ also left $3$ days before the completion of the work. How long did the work last? (in days)

$A$ and $B$ can do a work in $12$ days. $B$ and $C$ can do the same work in $15$ days. $C$ and $A$ can do the same work in $20$ days. How much time will $A, B,$ and $C$ take to complete the same work together (in days)?

$A$ can do a piece of work in $30$ days while $B$ can do it in $40$ days. In how many days can $A$ and $B$ working together do it?

$A$ can do a piece of work in $12$ days and $B$ in $15$ days. They work together for $5$ days and then $B$ leaves. The number of days taken by $A$ to finish the remaining work is:

$A$ and $B$ can complete a piece of work in $30 \text{ days}$,$B$ and $C$ can complete the same work in $20 \text{ days}$,and $A$ and $C$ can complete it in $15 \text{ days}$. If all of them work together,the time taken to complete the work will be? (in $days$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module