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 do a work in $12 \, days$. When he had worked for $3 \, days$,$B$ joined him. If they complete the work in $3$ more $days$,in how many $days$ can $B$ alone finish the work?

$P$ can do $\left(\frac{1}{4}\right)$ of the work in $10$ days. $Q$ can do $40\%$ of the work in $40$ days and $R$ can do $\left(\frac{1}{3}\right)$ of the work in $13$ days. Who will complete the work first?

$A$ daily-wage labourer was engaged for a certain number of days for $Rs. 5,750$ but being absent on some days he was paid only $Rs. 5,000$. What was his maximum possible daily wage? (in $Rs.$)

Rohan and Mohit can build a wall in $8 \, days$,Mohit and Vikas can build the same wall in $10 \, days$,and Vikas and Rohan can build the same in $12 \, days$. In how many days can all three complete the same wall while working together?

$A$ farmer can plough a field working $6$ hours per day in $18$ days. How many hours per day must the farmer work to finish the same work in $12$ days?

Vedclass Test Series

Exam Paper Generator

Online Exam Module