Answers

  • Brainly User
2014-09-10T16:07:56+05:30
Let a man's 1-day work be m and that of a boy be b.
Then 2 men's and 3 boys' 1-day work = 2(1/m) + 3(1/b) = 1/8 ------(1)
Also 3 men's and 2 boys' 1-day work = 3(1/m) + 2(1/b) = 1/7 ------(2)

Solving (1) and (2) for 1/m   and  1/b,
==> 1 man's 1-day work 1/m = 1/28
and 1 boy's 1-day work = 1/56. [ Hope you can do elementary calculations]

Hence 5 men's and 4 boys' 1-day work = 5(1/m) + 4(1/b) = (5/28) + (4/56)
= (5/28) + (1/14) = 7/28 = 1/4.
Therefore 5 men and 4 boys will finish the work in 4 days.


  
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