A,B and C can finish a work in 8hrs. A alone can finish the same work in 20hrs.B alone can finish the same work in 24 hrs. How much time will be taken by C alone to complete the same work.
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given,
A can do work in 20 hrs
one hour work of A =1/20hr
B can do work in 24 hrs
one hour work of B =1/24
total work can be done by ABC is 8 hrs
one hour work of ABC =1/8
one hour work of C = one hour work of ABC - one hour work of A + one day hour of B
=1/8-1/20+1/24
=1/8-11/120
=4/120
=1/30
hence,C can do work in 30hrs
A can do work in 20 hrs
one hour work of A =1/20hr
B can do work in 24 hrs
one hour work of B =1/24
total work can be done by ABC is 8 hrs
one hour work of ABC =1/8
one hour work of C = one hour work of ABC - one hour work of A + one day hour of B
=1/8-1/20+1/24
=1/8-11/120
=4/120
=1/30
hence,C can do work in 30hrs
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