Question

if A and B do work in 12 days.B and C do in 15 days.A and C do in 20 days . find that how many days ABC will take to that work .you have to divide 9000 between them

Answer 1

Take total work=LCM(12,15,20)
=60 unit
A and B do 60 unit of work in 12 days
So, they will complete 5unit/day.
B and C can complete the whole work in 15 days.
So,they will complete 4unit/day .
Similarly,A and C can complete 3unit/days
So,A,B and C can complete 6unit/day .total days taken=60 unit/6unit/ day
=10 days .
Also,A complete 2unit/day,B can 3unit/days and C can 1unit/days
So,let they get in 2x+3x+x=9000
=>x=1500
So,A get RS 3000,B get rs4500 and C get Rs1500
Hope it helps