**Question:**

A and B can do a work in 12 days ,B and C in 15 days and C and A in 20 days. If A ,B , C work together, they will complete the work in :

**[This Maths Time and Work Question asked in following exams-**

· **SSC CGL 1999**

· **SSC CGL 2006**

· **SSC CGL 2013**

· **SSC CPO 2003**

· **SSC CPO 2006]**

**Options:**

(1)5 days

(2)7(5/6) days

(3)10 days

(4)15 2/3 days

**Answer: **(3)10 days

**Step By Step Explanation:**

Given that:

· A and B can do a work in 12 days

· B and C in 15 days

· C and A in 20 days

so, A +B)'s one day work =1/12

Similarly ,

(B+C)'s one day work =1/15

and (C+A)'s one day work =1/20

so, 2(A+B+C)'s one day work

=1/12 +1/15+ 1/20=10+8+6/120 =1/5

so, (A+B+C)'s one day work

=1/10

so, A,B,C together can finish the whole work in 10 days.

**Hence, Option(3) is correct answer.**

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