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5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days.

Correct Answer: 2

Explanation:

Let work done by 1 man in i day be m


and Let work done by 1 boy in 1 day be b


From the given data,


4(5m + 3b) = 23


20m + 12b = 23....(1)


2(3m + 2b) = 7


6m + 4b = 7 ....(2)


By solving (1) & (2), we get


m = 1, b = 1/4


Let the number of required boys = n


6(7 1 + n x 1/4) = 45


=> n = 2.


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