a ,b,c can do a work in 6,8,10 days a works for 2 days. b&c for 2

[m.gayatri]

a ,b,c can do a work in 6,8,10 days a works for 2 days. b&c for 2 days,remaining work completed by c. In how many days work is completed?

[ayshaparveen]

A's 2 days work=2/6=1/3;
B & c 2 day work=2(1/8+1/10)=9/20;
Total work done by A,B,C in 4 days=1/3+9/20=4/5;
Remaining work=1-4/5=1/5;
C does 1/10 of work in 1 day
C does 1/5 of work in x days
x=2;
Total days taken by c to finish remaining work=2;
Total number of days taken by A,B,C to finish work=2+2+2=6 Days