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

Correct Answer: 2

Explanation:

Let workdone 1 boy in 1 day be b


and that of 1 girl be g


From the given data,


4(5b + 3g) = 23


20b + 12g = 23 .......(a)


 


2(3b + 2g) = 7


6b + 4g = 7 ........(b)


 


Solving (a) & (b), we get


b = 1, g = 1/4


 


Let number og girls required be 'p'


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


=> p = 2.


 


Hence, number of girls required = 2


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