Nikita,Nishita,and Kavita can complete a work | vedclass

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

Question

(C) Let the work done by Nikita,Nishita,and Kavita be $A, B,$ and $C$ respectively.Given: $(A+B+C)$ can complete the work in $2 \frac{2}{3} = \frac{8}

Vedclass · Accepted Answer

$3 \frac{3}{7}$

Vedclass · Answer

(C) Let the work done by Nikita,Nishita,and Kavita be $A, B,$ and $C$ respectively.Given: $(A+B+C)$ can complete the work in $2 \frac{2}{3} = \frac{8}{3}$ days.$(B+C)$ can complete the work in $4$ days.$B$ alone can complete the work in $6$ days.First,find the time taken by $C$ (Kavita) alone:Since $(B+C)$ takes $4$ days and $B$ takes $6$ days,the work done by $C$ in $1$ day is $\frac{1}{4} - \frac{1}{6} = \frac{3-2}{12} = \frac{1}{12}$.So,$C$ alone takes $12$ days.Next,find the time taken by $A$ (Nikita) alone:Since $(A+B+C)$ takes $\frac{8}{3}$ days,their $1$-day work is $\frac{3}{8}$.$A$'s $1$-day work $= \frac{3}{8} - (B+C)$'s $1$-day work $= \frac{3}{8} - \frac{1}{4} = \frac{3-2}{8} = \frac{1}{8}$.So,$A$ alone takes $8$ days.Now,find the time taken by $A$ and $B$ (Nikita and Nishita) together:Their combined $1$-day work $= \frac{1}{8} + \frac{1}{6} = \frac{3+4}{24} = \frac{7}{24}$.Therefore,they can complete the work in $\frac{24}{7} = 3 \frac{3}{7}$ days.

Nikita,Nishita,and Kavita can complete a work in $2 \frac{2}{3}$ days. If Nishita and Kavita can complete it in $4$ days,and Nishita alone can do it in $6$ days,then in how many days can Nikita and Nishita complete the work?

Similar Questions

$A$ and $B$ working separately can do a piece of work in $9$ and $12$ days,respectively. If they work for a day alternately with $A$ beginning,the work would be completed in (in days):

$A$ certain number of men complete a work in $160\, days$. If there were $38\, men$ more, the work could be finished in $20\, days$ less. How many men were originally there?

$A$ man can do a work in $10\, days$. With the help of a boy,he can do the same work in $6\, days$. If they get $Rs.\, 50$ for that work,what is the share of that boy? (in $Rs.$)

$A$ is twice as good a workman as $B$ and together they finish a piece of work in $14$ days. The number of days taken by $A$ alone to finish the work is (in days):

$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. Then,working together,what part of the same work can they finish in a day?

Vedclass Test Series

Exam Paper Generator

Online Exam Module