The Whole Work is Complete In-

Raja can do a piece of work in 20 days while Ramesh can finish it in 25 days. Ramesh started working and Raja joined him after 10 days. The whole work is complete in-

  1. 20 days
  2. 50/3 days
  3. 15 days
  4. 18 days
Anurag Mishra Professor Asked on 7th October 2015 in Maths.
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1 Answer(s)

Answer: (2) 50/3 days

Explanation:-
Raja can do a piece of work = 20 days
Therefore, Raja can do a piece of work in a day = 1/20

Ramesh can do a piece of work = 25 days
Therefore, Ramesh can do a piece of work in a day = 1/25

Raja and Ramesh can do together work in a day = 1/20 + 1/25
= (5 + 4)/100
= 9/100
Then, Raja and Ramesh can do together work = 100/9 days

Ramesh can do a work in 10 days = 10/25
Remaining work = 1 – 10/25
= (25 – 10)/25 = 15/25
= 3/5

Then, Raja & Ramesh can do complete remaining work = 100 x 3/5 x 9
= 20/3

Therefore, the whole work is complete = 10 + 20/3
= (30 + 20)/3
= 50/3 days

Hence, the answer is (2) 50/3 days.

Anurag Mishra Professor Answered on 7th October 2015.
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