How long will P Take to Finish the Work Alone? If

P and Q  can finish a work in 30 They worked at it for 10 days and then Q left. The remaining work is done by P alone in 20 more days. How long will  P take to finish the work alone?

  1. 30 days
  2. 20 days
  3. 60 days
  4. 50 days
Desire Adnan Default Asked on 2nd August 2015 in Maths.
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1 Answer(s)

Answer: (3) 60 days
Explanation:-
P and Q can finish a work = 30 days
Then, P and Q can do work in a day = 1/30

They worked together = 10  days
Then, they can together work in 10 days = 10/30
= 1/3
Remaining work = 1 – 1/3
= (3 – 1)/3
=  2/3
P alone can 2/3rd work = 20 days
Then, P can do work in a day = 2/3  x 20 x 2
= 1/60
P can finish work = 60 days.
Hence, the answer is (3) 60 days.

Anurag Mishra Professor Answered on 2nd August 2015.
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