Q:
      
      
         
            
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?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 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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