Question

A can do a piece of work in 34 days while B can do it in 46 days.A and B started the work and A left after working till 11 days.then B continued the work.after working for 6 days C joined B.C is twice plus 30% efficient than B.they worked for 4 days until completion of work and C leaves.how many days was the work completed?

Answer 1

A can do a work=34 days
B can do a work= 46 days
both can do a work=782 days
A's st.= 23
B's st.= 17
both are working together=11×40=440
rem work=782-440=342
B alone do work = 17×6=102
rem work= 342-102=240
now,
b'eff.=100
c'eff.= 230
both worked =33×4=132
b alone rem work=132÷17
thentotal time taken=11+6+4+7(13/17)