A can do a piece of work in 16 days and B in | vedclass

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

Question

(A) Work done by $A$ in $1$ day $= 1/16$.Work done by $B$ in $1$ day $= 1/24$.Work done by $A, B,$ and $C$ in $1$ day $= 1/6$.Work done by $C$ in $1$

Vedclass · Accepted Answer

$A: 150, B: 100, C: 150$

Vedclass · Answer

(A) Work done by $A$ in $1$ day $= 1/16$.Work done by $B$ in $1$ day $= 1/24$.Work done by $A, B,$ and $C$ in $1$ day $= 1/6$.Work done by $C$ in $1$ day $= (A+B+C)$'s $1$ day work $- (A+B)$'s $1$ day work.$1/C = 1/6 - (1/16 + 1/24) = 1/6 - (3+2)/48 = 1/6 - 5/48 = (8-5)/48 = 3/48 = 1/16$.The ratio of work done by $A, B,$ and $C$ is $1/16 : 1/24 : 1/16$.To simplify,multiply by $48$: $48/16 : 48/24 : 48/16 = 3 : 2 : 3$.Total parts $= 3 + 2 + 3 = 8$.Share of $A = (3/8) 	imes 400 = Rs. 150$.Share of $B = (2/8) 	imes 400 = Rs. 100$.Share of $C = (3/8) 	imes 400 = Rs. 150$.

$A$ can do a piece of work in $16$ days and $B$ in $24$ days. They take the help of $C$ and all three together finish the work in $6$ days. If the total remuneration for the work is $Rs. 400$,what is the amount (in $Rs.$) each will receive in proportion to the work done?

Similar Questions

$A$ takes $10\, \text{days}$ less than the time taken by $B$ to finish a piece of work. If both $A$ and $B$ can do it in $12\, \text{days}$, then the time taken by $B$ alone to finish the work is (in $\text{days}$)

$A$ and $B,$ working separately,can complete a piece of work in $9$ and $12$ days,respectively. If they work for a day alternately,$A$ beginning,in how many days will the work be completed?

$A$ certain sum of money is sufficient to pay wages for $21$ days of $X$ or $28$ days of $Y$. The money is sufficient to pay the wages of both for ........ days.

$B$ would have taken $10 \, \text{hours}$ more than what $A$ would have taken to complete a task if each of them worked alone. Working together they can complete the task in $12 \, \text{hours}$. How many $\text{hours}$ would $B$ take to do $50 \%$ of the task?

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)

Vedclass Test Series

Exam Paper Generator

Online Exam Module