Question

4 nen and 6 women can compete a work un 8dats while 3 nen and 7 women in 10 dats in how many days will 10 women complete it

Answer 1

Men let finish the piece of work in x days
therefore,
1men finish the 1/x part of same work in one full day
'll
let a women finish the work in y days
therefore,
1 women finishes her 1/y part of same work in 1day
now,,
4men will do 4*1/x part of work in one day
and,,
6women will do 6*1/y part of work in 1 day
but according to 1st given condition,,
they together finish work in 8 days and therefore they together finish 1/8 part of work in one full day(assuming that they do equal work on each particular day)
therefore only,,
1st condition:
4/x+6/y=1/8
2nd condition:
3/x+7/y=10
solving both conditions will get work of 1 men in one day and hence we can find the total work completed by them in 10 days and so