Working 8 hours a day 40 people can build 6 houses in 21 days. Working 10 hours a day, how many people are needed to build 4 houses in 14 days? 

Dear Student,

Please find below the solution to the asked query:

Given : Working 8 hours a day can build 6 houses in 21 days by 40 people ,

Working 1 hours a day can build 6 houses in 21 days by 40 $\times$ 8 =  320 people ,

Working 1 hours a day can build 1 houses in 21 days by $\frac{320 }{6} = \frac{160}{3}$ people ,

Working 1 hours a day can build 1 houses in 1 day by $\frac{160}{3}\times 21 = 160 \times 7$ = 1120 people ,

Working 1 hours a day can build 1 houses in 14 day by $\frac{1120}{14}$ = 80 people ,

Working 1 hours a day can build 4 houses in 14 day by  80 $\times$ 4 =  320 people ,

Therefore,

Working 10 hours a day can build 4 houses in 14 day by $\frac{320}{10}$ = 32 people                                                ( Ans )
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