based on principle of variation, how long 25 men will take to plough 30 acres. if 5 men take 9 days for 10 acres
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Answers
Answer:
25 men need 45 days to complete and each day acres
Step-by-step explanation:
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GIven,
5 men take 9 days for 10 acres
To Find,
The number of days required for 25 men to plough 30 acres =?
Solution,
If we increase the number of men then days will reduce that means
The number of men ∝ 1 / The number of days
Also, if we increase the number of men then the area will increase
The number of men ∝ 1 / Area
In first case,
The total men(m1) = 5
The total days(d1) = 9
The total area(a1) = 10
In case two,
The total men(m2) = 25
The total days(d2) = d1 [we need to find it]
The total area(a2) = 30
By equating their ratio we have,
(m1*d1)/a1 = (m2*d2)/a2
(5*9)/10 = (25*d2)/30
d2*25 = 1350/10
d2 = 135/25
d2 = 5.4
Hence, 25 men will take 5.4 days to plough 30 acres. if 5 men take 9 days for 10 acres.