How Long will Take to Finish The Work ?

6 men or 10 women can do a piece of work in 24 days. How long will 12 men and 10 women take to finish the work ?

  1. 8 days
  2. 7 days
  3. 17 days
  4. 5 days
Monis Rasool Professor Asked on 31st July 2015 in Movies.
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1 Answer(s)

Answer: (1) 8 days
Explanation:-
6 men = 10 woman
then, 1 man = 10/6 woman
1 man = 5/3 woman.
Formula-
M 1 D 1 = M 2 D 2
Where, M = number of men   &  D = number of days.
M 1 = 10 women , D 1 = 24 days, M 2 = 12 men and 10 women     & D 2= ?
Then,   10 x 24  = (10 + 5 x 12/3) x D 2
240 = (10  + 20) x D 2
240 = 30 x D 2
D 2 = 240/30
D 2 = 8 days
Hence, the answer is (1) 8 days.

Anurag Mishra Professor Answered on 31st July 2015.
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