3 men and 7 women can do a job in a 5 days, while4 men and 6 women can do it in 4 days. the number of days required for group of 10 women working together, as the same rate as before, to finish the same job is?

Question

3 men and 7 women can do a job in a 5 days, while4 men and 6 women can do  it in 4 days. the number of days required for group of 10 women working together, as the same rate as before, to finish the same job is?

ganeshie8 · Answer

try to find a relationship between men and women work

ganeshie8 · Answer

3 men and 7 women can do a job in a 5 days, while4 men and 6 women can do  it in 4 days

total amount of work in man-women days :  $(3m + 7w)*5$

which is also equal to : $(4m+6w)*4$

ganeshie8 · Answer

equate them and find $w$ in terms of $m$

ganeshie8 · Answer

amount of work is same,
so $(3m + 7w)*5 =  (4m+6w)*4$
$\implies 15m + 35w = 16m + 24w$
$\implies m = 11w$

anonymous · Answer

10 women will do the same work in how  many days?

ganeshie8 · Answer

you knw that 1 man = 11 women.
use that relation and try to find how much time it takes for 10 women to finish the job

anonymous · Answer

okey

ganeshie8 · Answer

give it a try :)

ganeshie8 · Answer

since $3m + 7w$ complete the job in $5$ days,
$\implies 3*11w + 7w$ complete the job in $5$ days

you finish the rest ok ?

anonymous · Answer

thanks

ganeshie8 · Answer

np, let me knw wat do u get for answer :)

anonymous · Answer

10 women will do the same work in 20 days

ganeshie8 · Answer

since $3m + 7w$ complete the job in $5$ days,
$\implies 3*11w + 7w$ complete the job in $5$ days
$\implies 40$ women complete the job in $5$ days
$\implies 10$ women complete the job in $20$ days

ganeshie8 · Answer

Perfect ! good job !!

anonymous · Answer

thanks
thanku so mch

ganeshie8 · Answer

u wlc :)