A certain work in 60 If one man works equal to 2 boys :

12 men and 18 boys working 7 1/2 hours a day can do a certain work in 60 If one man works equal to 2 boys, then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will be

  1. 30
  2. 42
  3.  48
  4.  90

 

Anurag Mishra Professor Asked on 24th January 2016 in Maths.
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1 Answer(s)

Answer: (2) 42 

Explanation:-
 Let required number of boys = X
1 man = 2 boys  
(12 men + 18 boys)  
(12 x 2 + 18) boys = 42 boys
 21 men + X boys a (21 x 2 + X) boys = (42+X) boys
    [50 X 9 X 1 X (42 + x)] = (60 X  X 2 X 42)
  (42 + X) = (37800/450)
 =  42 + X = 84  

=> X = 42.

Hence, the correct answer is option (2) 42. 

Anurag Mishra Professor Answered on 24th January 2016.
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