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A 10 hectare field is reaped by 2 men, 3 women and 4 children together in 10 days. If working capabilities of a man , a woman and a child are in the ratio 5 : 4 : 2, then a 16 hectare field will be reaped by 6 men, 4 women and 7 children in
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Explanation:
According to quetions,
efficiency of a man,a woman and a child are
5:4:2 units/days.
one day work of 2 men=2×5=10 units
one day work of 3 women= 3×4=12 units
one day work of 4 children =4×2=8 units.
applying formula, let time taken is ‘D’ days.
(10+12+8)×10days\ 10hectare
=[(6men×5)+(4women×4)+(7children×2)×D\ 10hectare]
(30)×10\ 10=[60]×D\ 16
D=8 days