Question

If 15 men or 24 women or 36 boys can do a work in 12 says working 8 hours a day, how many men should work together with 12 women and 6 boys to do a piece of work in times the earlier one, in 30 days working 6 hours a day?

Answer 1

hey megha i have a useful material on this ..read it ..hope it helps !

http://www.articlediary.com/article/quantitative-aptitude-problems-on-time-and-work-400.html

Answer 2

try to get to the answer if you still didnt get it ..call me by @AravindG i will help .

Answer 3

hey aravind,thanks a lot. 4 ur link,bt in ths question.. ..a piece of work in 9/4 times the earlier one..the number 9/4 ws left by mistake..i hv a doubt tht wht is 12?? is it number of days?

Answer 4

yes it is number of days

Answer 5

but the first case time is(12*8)hrs and 2nd case is 30 *6 i.e 180 hrs...so whts the meaning of 9/4 times..

Answer 6

earlier , we had 96 working hrs.
we easily see
1 man ->96*15 hrs
1 woman-> 96*24 hrs
1 boy -> 96*36 hrs

or
in 1 hr, each alone, a man does 1/96*15 work
woman does 1/96*24 work
boy does 1/96*36 work

in 2nd case, we have x men(not X-men) ,12 women, 6 boys, 180 hrs.
in 180 hrs, a man does 180/96*15 work
thus x men do 180*x/96*15 work

similarly , 12 women do 180*12/96*24 work
and 6 boys do 180*6/96*36 work

=>180*x/(96*15) + 180*12/(96*24) + 180*6/(96*36) = 9/4

ans comes out easily to be x=8.. please confirm..

Answer 7

ya 8 is in option..so it shud be the correct ans. thanks a lot 4 ur help.

Answer 8

you're welcome..main query is did you follow ?

Answer 9

ya it means work done in 2nd case is 9/4 times the work n 1st case..ths only i had doubt..

Answer 10

i see..glad i could help.. :)

Answer 11

thank u :)

Answer 12

why aren't you replying to the messages?
i had asked if you are preparing for CAT or something equivalent..