A takes twice as much time as B or thrice as | vedclass

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

Question

(B) Let the time taken by $A$ to complete the work be $x$ days.Since $A$ takes twice as much time as $B$,the time taken by $B$ is $\frac{x}{2}$ days.S

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(B) Let the time taken by $A$ to complete the work be $x$ days.Since $A$ takes twice as much time as $B$,the time taken by $B$ is $\frac{x}{2}$ days.Since $A$ takes thrice as much time as $C$,the time taken by $C$ is $\frac{x}{3}$ days.The work done by $A, B,$ and $C$ in one day is $\frac{1}{x} + \frac{2}{x} + \frac{3}{x} = \frac{6}{x}$.Given that they finish the work together in $2$ days,the total work done in one day is $\frac{1}{2}$.Therefore,$\frac{6}{x} = \frac{1}{2}$.Solving for $x$,we get $x = 12$ days.Thus,the time taken by $B$ to complete the work alone is $\frac{x}{2} = \frac{12}{2} = 6$ days.

$A$ takes twice as much time as $B$ or thrice as much time as $C$ to finish a piece of work. Working together,they can finish the work in $2$ days. $B$ can do the work alone in (in days):

Similar Questions

$P$ is twice as good a workman as $Q,$ and together they finish a work in $16$ days. In how many days can it be done by each separately?

$A$ is twice as good a workman as $B$. Working together,they finish a piece of work in $1.5$ days. $A$ alone can finish the work in (in days):

$10$ men can complete a piece of work in $15$ days and $15$ women can complete the same work in $12$ days. If all the $10$ men and $15$ women work together,in how many days will the work get completed?

$A$ does a work in $10$ $days$ and $B$ does the same work in $15$ $days$. In how many $days$ will they together do the same work?

$A$ can do a piece of work in $8$ days. $A$ undertook it for $Rs. 320$. With the help of $B$,he finishes the work in $6$ days. $B$'s share is (in $Rs.$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module