A and B can complete a piece of work in 12 an | vedclass

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

Question

(A) 's $1 	ext{ day}$'s work $= \frac{1}{12}$.$B$'s $1 	ext{ day}$'s work $= \frac{1}{18}$.Part of work done by $A$ and $B$ in the first $2 	ext{ d

Vedclass · Accepted Answer

$14\frac{1}{3}$

Vedclass · Answer

(A) 's $1 	ext{ day}$'s work $= \frac{1}{12}$.$B$'s $1 	ext{ day}$'s work $= \frac{1}{18}$.Part of work done by $A$ and $B$ in the first $2 	ext{ days} = \frac{1}{12} + \frac{1}{18} = \frac{3+2}{36} = \frac{5}{36}$.In $14 	ext{ days}$ ($7$ cycles of $2 	ext{ days}$),the work done $= 7 	imes \frac{5}{36} = \frac{35}{36}$.Remaining work $= 1 - \frac{35}{36} = \frac{1}{36}$.On the $15^{	ext{th}}$ day,$A$ works. Since $A$ completes $\frac{1}{12}$ work in $1 	ext{ day}$,$A$ will complete $\frac{1}{36}$ work in $\frac{1}{36} 	imes 12 = \frac{1}{3} 	ext{ day}$.Total time taken $= 14 + \frac{1}{3} = 14\frac{1}{3} 	ext{ days}$.

$A$ and $B$ can complete a piece of work in $12$ and $18 \text{ days}$ respectively. $A$ begins to do the work and they work alternatively one at a time for $1 \text{ day}$ each. The whole work will be completed in (in $\text{days}$):

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)

$A$ group of men decided to do a work in $10 \, days,$ but five of them absented themselves. If the rest of the group finished the work in $12 \, days,$ find the original number of men? (in $men$)

$A$ can finish a work in $18$ days and $B$ can do the same work in $15$ days. $B$ worked for $10$ days and left the job. In how many days can $A$ alone finish the remaining work?

If $3$ men and $4$ boys can earn $Rs. 2100$ in $7$ days,and $11$ men and $13$ boys can earn $Rs. 8300$ in $8$ days,in what time will $7$ men and $9$ boys earn $Rs. 11000$? (in days)

$x$ number of men can finish a piece of work in $30$ days. If there were $6$ men more,the work could be finished in $10$ days less. The actual number of men is

Vedclass Test Series

Exam Paper Generator

Online Exam Module