If C Alone can Finish the Work in 40 Days :

A does half as much word as B, and C does half as much work as A and B together. If C alone can finish the work in 40 days, then together all will finish the work in

  1. 40/3 days
  2. 15 days
  3. 20 days
  4. 30 days
Anurag Mishra Professor Asked on 12th October 2015 in Maths.
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1 Answer(s)

Answer: (1) 40/3 days

Explanation:-
C does half as much as A and B together.
Then, Let (A + B) takes be = X days
Then, C takes to complete same work = 2X days.
Now, that C takes 40 days.  (Given in the question)
So 2X = 40.
X = 20
Now, (A + B) takes =  20 days,
And, C takes 40 days,
Then A+B+C takes = 1/20 + 1/40
(2 + 1)/40
= 3/40

Then, A, B and C takes to complete the work = 40/3 days

Hence, the answer is (1) 40/3 days.

Anurag Mishra Professor Answered on 14th October 2015.
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