Question 745478
A,B and C do a piece of work in 10 days. A and B can do it in 12 days. A and C in 20 days. How many days would it take each to do the work alone?

Let x,y and z be the rate,

A,B and C do a piece of work in ...{{{x+y+z=1/10}}}
A and B can do it in 12 days...{{{x+y=1/12}}}
A and C in 20 days...{{{x+z=1/20}}}
Solving simultaneous equation yields,
{{{x=1/30}}},{{{y=1/20}}},{{{z=1/60}}}
How many days would it take each to do the work alone?
{{{Time=Work/Rate}}}
{{{A=1/x=30 days}}}
{{{B=1/y=20 days}}}
{{{C=1/z=60 days}}}