X and Y can do a piece of work in 20 days and | vedclass

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

Question

(B) Efficiency of $X = \frac{1}{20}$ work/day.Efficiency of $Y = \frac{1}{12}$ work/day.$X$ worked alone for $4$ days,so work done by $X = 4 	imes \f

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(B) Efficiency of $X = \frac{1}{20}$ work/day.Efficiency of $Y = \frac{1}{12}$ work/day.$X$ worked alone for $4$ days,so work done by $X = 4 	imes \frac{1}{20} = \frac{1}{5}$ of the total work.Remaining work = $1 - \frac{1}{5} = \frac{4}{5}$.After $4$ days,$X$ and $Y$ worked together. Their combined efficiency = $\frac{1}{20} + \frac{1}{12} = \frac{3+5}{60} = \frac{8}{60} = \frac{2}{15}$ work/day.Time taken to complete the remaining work = $\frac{4/5}{2/15} = \frac{4}{5} 	imes \frac{15}{2} = 6$ days.Total time for the work = $4$ days (initial) + $6$ days (together) = $10$ days.

$X$ and $Y$ can do a piece of work in $20$ days and $12$ days respectively. $X$ started the work alone and then after $4$ days $Y$ joined him until the completion of the work. How long did the work last? (in days)

Similar Questions

If a job is to be completed in $10 \, \text{days}$,it requires $270 \, \text{persons}$. If $180 \, \text{persons}$ take up the same job,they will finish it in (in $\text{days}$):

To complete a work,$A$ takes $50 \%$ more time than $B$. If together they take $18 \text{ days}$ to complete the work,how much time shall $B$ take to do it? (in days)

$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

Working $7\, \text{hours}$ daily,$24$ men can complete a piece of work in $27$ $\text{days}$. In how many $\text{days}$ would $14$ men complete the same piece of work working $9\, \text{hours}$ daily?

$A$ and $B$ can do a piece of work in $20$ days and $12$ days,respectively. $A$ started the work alone and then after $4$ days $B$ joined him until the completion of the work. How long did the work last? (in days)

Vedclass Test Series

Exam Paper Generator

Online Exam Module