Wed December 06, 2017 By: Sudhansu Bhushan Roy

3 men and  5 boys can do 19/20 th part of a work in 3 days. 4 men and 18 boys can do 14/15 th part of the work in two days. How many days does a boy to finish the whole work ?

Expert Reply
Wed December 06, 2017
begin mathsize 16px style 3 straight M plus 5 straight B equals 19 over 20 th space part space of space straight a space job space in space 3 space days
now space 19 over 20 space takes space 3 space days space
so space complete space job space takes space 60 over 19 days
let space part space of space job space done space by space 1 Man space in space one space day space equals 1 over straight M
part space of space job space finished space in space 1 space day equals 19 over 60
so space 1 space day space eq space is
3 over straight M plus 5 over straight B equals 19 over 60..... left parenthesis 1 right parenthesis
4 over straight M plus 18 over straight B equals 14 over 30..... left parenthesis 2 right parenthesis
solve space equation
end style
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