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    				| 1. | 50 villages had taken 18 days to dig a pond . Calculate by using theory of variation how many extra persons will be required to dig the pond in 15 days. | 
| Answer» Let the number of persons =M and the number of days =D . `because` If the number of persons increases, the number of days will decrease. `therefore` M varies inversely as D . `therefore M proprArr =k . 1/D[where k ne0=v.c]` `rArr M=k/D........(1)` As per question , if M =50 , then D=18. `therefore` from (1) we get , 50 =`(k) /(18)rArr =900`. `therefore M =(900)/(D) ........(2) ["from" (1)]` Now ,putting D =15 we get , M =`(900)/(15)=60. ` The extra persons =60-50 =10. Hence the required number of extra persons = 10. | |