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  • A and B can do a piece of work in 15 days; B and C can do it in 12 days while C and A can finish it 20 days; in how many days will A,B,C finish it working together?

A and B can do a piece of work in 15 days; B and C can do it in 12 days while C and A can finish it 20 days; in how many days will A,B,C finish it working together?

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Given,;(A+B);can;do;a;piece;of;work;in;15;days\* (B+C);can;do;a;piece;of;work;in;12;days\*(C+A);can;do;a;piece;of;work;in;20;days\* So,;1;day;work;of;(A+B) =frac115\* 1;day;work;of;(B+C)=frac112\* 1;day;work;of;(C+A) =frac120\* adding;all;of;them;we;get,\* 2(A+B+C)=frac115+ frac112+frac120=frac7203600=frac15\* herefore 1;day;work;of;(A+B+C);together=frac15 imes 2=frac110\* So,;A,B,C;can;complete;the;work;by;working;together;in;10;days.

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Deependra Verma

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