A is thrice as good a workman as B,therefore, | vedclass

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

Question

(B) Let the number of days taken by $A$ to complete the work be $x$ days.Since $A$ is thrice as efficient as $B$,$B$ takes $3$ times as long as $A$ to

Vedclass · Accepted Answer

$22\frac{1}{2}$

Vedclass · Answer

(B) Let the number of days taken by $A$ to complete the work be $x$ days.Since $A$ is thrice as efficient as $B$,$B$ takes $3$ times as long as $A$ to complete the work.Therefore,the time taken by $B$ is $3x$ days.Given that $A$ finishes the work $60 \, days$ earlier than $B$,we have:$3x - x = 60$$2x = 60$$x = 30 \, days$ (Time taken by $A$)$3x = 3 	imes 30 = 90 \, days$ (Time taken by $B$)Now,the work done by $A$ and $B$ together in $1 \, day$ is:$\frac{1}{30} + \frac{1}{90} = \frac{3 + 1}{90} = \frac{4}{90} = \frac{2}{45}$Therefore,the total time taken by $A$ and $B$ working together is $\frac{45}{2} = 22\frac{1}{2} \, days$.

$A$ is thrice as good a workman as $B$,therefore,$A$ is able to finish a piece of work in $60 \, days$ less than $B$. The time (in $days$) in which they can do it working together is

Similar Questions

Kim can do a work in $3 \, \text{days}$ while David can do the same work in $2 \, \text{days}$. Both of them finish the work together and get $Rs. 150$. What is the share of Kim? (in $Rs.$)

$A$ 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):

$A$ does half as much work as $B$ in $three-fourths$ of the time. If together they take $18$ days to complete a work,how much time shall $B$ take to do it alone? (in days)

Some staff promised to do a job in $18 \, days,$ but $6$ of them went on leave. So,the remaining men took $20 \, days$ to complete the job. How many men were there originally?

$A$ 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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module