A and B together can complete a work in 30 da | vedclass

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

Question

(B) Let the total work be $30$ units.Since $A$ and $B$ together complete the work in $30$ days,their combined efficiency is $(A+B) = \frac{30}{30} = 1

Vedclass · Accepted Answer

$90$

Vedclass · Answer

(B) Let the total work be $30$ units.Since $A$ and $B$ together complete the work in $30$ days,their combined efficiency is $(A+B) = \frac{30}{30} = 1$ unit/day.In $6$ days,they complete $6 	imes 1 = 6$ units of work.Remaining work $= 30 - 6 = 24$ units.This remaining $24$ units of work is completed by $B$ in $36$ days.Therefore,$B$'s efficiency $= \frac{24}{36} = \frac{2}{3}$ units/day.Since $(A+B) = 1$ unit/day,$A$'s efficiency $= 1 - \frac{2}{3} = \frac{1}{3}$ units/day.Time taken by $A$ to complete the entire work $= \frac{	ext{Total Work}}{	ext{Efficiency of } A} = \frac{30}{1/3} = 90$ days.

$A$ and $B$ together can complete a work in $30$ days. They started together but after $6$ days $A$ left the work and the work is completed by $B$ after $36$ more days. $A$ alone can complete the entire work in how many days?

Similar Questions

$A$ and $B$ can complete a work in $15$ days and $10$ days respectively. They started doing the work together,but after $2$ days $B$ had to leave and $A$ alone completed the remaining work. In how many days was the whole work completed?

$A$ and $B$ can do a piece of work in $10$ days. $B$ and $C$ can do it in $12$ days. $A$ and $C$ can do it in $15$ days. How long will $A$ take to do it alone? (in days)

Akka can bake $100$ cakes in $20$ hours. Akka and Tai together can bake $75$ cakes in $10$ hours. How many cakes can Tai bake in $20$ hours?

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

$A$ can do a work in $15\, days$ and $B$ in $20\, days.$ If they work on it together for $4\, days,$ then the fraction of the work that is left is

Vedclass Test Series

Exam Paper Generator

Online Exam Module