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harish

· started a discussion

· 1 Months ago

to understand the concept better (Question: 146897.0 )

Is der any other traditional method?

Question:
Three men, four women and four boys can complete a job in 4 days. A man and a woman can complete it in 16 days. A man and eight boys can complete it in 8 days. In how many days can a boy complete it?
Options:
A) 96 
B) 108 
C) 84 
D) 120
E) 122
Solution:

Ans (a) Let the work which can be completed each day by a man, a woman and a boy be ‘m’ units. ‘w’ units and ‘b’ units respectively.

Job (in units) = 4(3m + 4w + 4b) = (m + w)1 6 = (m + 8b) (8)

12m + 16w+ 16b = 16m + 16w = 8m + 64b

12m + 16w + 16b = 16m + 16w ⇒ 16b = 4m ⇒ m = 4b

∴ Job = (8m + 64b) units = (8 (4b) + 64b) units = 96b units.

∴ A boy can complete it in 96b/b days i.e. in 96 days.

Knowledge Expert

· commented

· 1 Months ago

Dear student,
We will make the required changes, If required in the solution.

Best wishes
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