Three men,four women and six children can com | vedclass

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

Question

(A) Let the work done by a man in one day be $x$.Since a woman does double the work of a man,the work done by a woman in one day is $2x$.Since a child

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) Let the work done by a man in one day be $x$.Since a woman does double the work of a man,the work done by a woman in one day is $2x$.Since a child does half the work of a man,the work done by a child in one day is $\frac{x}{2}$.The total work done by $3$ men,$4$ women,and $6$ children in one day is $3x + 4(2x) + 6(\frac{x}{2}) = 3x + 8x + 3x = 14x$.Given that they complete the work in $7$ days,the total work is $14x 	imes 7 = 98x$.We need to find the number of women $(n)$ required to complete the same work in $7$ days.The work done by $n$ women in $7$ days is $n 	imes (2x) 	imes 7 = 14nx$.Equating the total work: $14nx = 98x$.Dividing both sides by $14x$,we get $n = 7$.Therefore,$7$ women are required to complete the work in $7$ days.

Three men,four women and six children can complete a work in $7$ days. $A$ woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in $7$ days?

Similar Questions

$6$ men or $12$ women can do a piece of work in $20$ days. In how many days can $8$ men and $16$ women do twice as big as this work?

$5$ men or $7$ women can earn $Rs. 5,250$ per day. How much would $7$ men and $13$ women earn per day? (in $Rs.$)

$2$ men alone or $3$ women alone can complete a piece of work in $4$ days. In how many days can $1$ woman and $1$ man together complete the same piece of work?

$A$ can do a work in $6$ days and $B$ can do the same work in $5$ days. The contract for the work is of $Rs. 220$. How much shall $B$ get if both of them work together? (in $Rs.$)

$A$ man,a woman,and a boy can together complete a piece of work in $3$ days. If a man alone can do it in $6$ days and a boy alone in $18$ days,how long will a woman alone take to complete the work? (in days)

Vedclass Test Series

Exam Paper Generator

Online Exam Module