Question

59.A and B together can do a piece of work in days. A having worked for 16 days, B finishe remaining work alone in 44 days. In how mu days shall B finish the whole work alone? (a) 30 days (b) 40 days (c) 60 days (d) 70 days A and B together can do a piece of work he 76. A hi work in 12 days After A

Bank Exams

Maths

Solution

160

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Yot A canlane the work in x days Kot ( B ) canjone the uiork in ydays ( therefore ) In one day, A does ( frac{1}{x} ) ar the wout ( & quad B ) does ( frac{1}{y} ) th of the wate ( therefore quad 30left(frac{1}{x}+frac{1}{y}right)=1 ) ( Rightarrow frac{1}{x} a+frac{1}{y}=frac{1}{30}=0 ) Again, ( frac{16}{x}+frac{44}{y}=1-Q ) ( theta Rightarrow frac{16}{x}+frac{16}{y}=frac{16}{30}+3 ) ( therefore(2)-(3) Rightarrow frac{44-16}{y}=1-frac{16}{30} ) ( Rightarrow frac{28}{y}=frac{14}{30} ) ( Rightarrow y=60 ) B cuill finist