Question

A and B can do a piece of work in 12 days B and C can do it in 15 days while seeing a can finish it in 20 days in how many days will ABC finish it working together how much time B alone take to finish the job​

Answer 1

Answer: 10 days

Step-by-step explanation: Implementing given statement in terms of equations,we get,

A + B=1/12; as both do 1/12 work in 12 days. similarly,

B + C=1/15;

A + C=1/20;

now adding above equations we get,

==>2(A + B +C)=1/12 + 1/15 +1/20;

==>2(A + B +C)=(10+8+6)/120; as, lcm= 120,

==>2(A + B +C)=24/120;

==>(A + B +C)=24/240;

==>(A + B +C)=1/10;

hence they all work in 10 days to complete.