In How many days A, B and C can Complete Work Together

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

  1. 5
  2. 68/6
  3. 10
  4. 47/3
Monis Rasool Professor Asked on 25th May 2015 in Maths.
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1 Answer(s)

Answer: (a) 5 days.
Explanation:-
A and B can do a work = 12 days
A and B can do a work in a day = 1/12 day

B and C can do same work = 15 days
B and C can do same work in a day = 1/15

B and C can do same work = 20 days
B and C can do same work = 1/20

Therefore, A, B and C work together will complete the work in a day = (1/12 + 1/15 + 1/20)/2
= 12/60 = 1/5

Hence, A, B and C work together will complete the work in 5 days.

Anurag Mishra Professor Answered on 25th May 2015.
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