If 4 men reap 40 acre in 30 days than how many acre will 18 men reap in 12 days
Answers
M2=18 d2=12 i2=?
Men is inversely proportional to days and land
So M1 d1 i1= M2 d2 i2
4*30*40=18*12* land
Land =22.2
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Here is the solution:
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4 men : 40 acre : 30 days
The number of men is directly proportional to the number of acre they can reap
⇒ fewer men = fewer acre reaped
⇒ more men = more acre reaped
FInd 1 man:
4 men : 40 acre : 30 days
4 ÷ 4 men : 40 ÷ 4 acre : 30 days
1 man: 10 acre : 30 day
Find 18 men:
1 man: 10 acre : 30 day
1 x 18 men: 10 x 18 acre : 30 day
18 men : 180 acre : 30 days
The number of days is directly proportional to the number of acre they can reap
⇒ fewer days = fewer acre reaped
⇒ more days = more acre reaped
Find 1 day:
18 men : 180 acre : 30 days
18 men : 180 ÷ 30 acre : 30 ÷ 30 days
18 men : 6 acre : 1 day
Find 12 days:
18 men : 6 acre : 1 day
18 men : 6 x 12 acre : 1 x 12 days
18 men : 72 acre : 12 days
Answer: 18 men can reap acre in 12 days