X.4. A man undertakes to do a certa...
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X.4. A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The num- ber of additional men that should be appointed so that the whole work will be finished in time is : (1) 75 (2) 100 (3) 125 (4) 50

11th - 12th Class
Maths
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Sol. (2) 200 men do ( frac{1}{4} ) work in 50 days. ( therefore frac{M_{1} D_{1}}{W_{1}}=frac{M_{2} D_{2}}{W_{2}} ) ( Rightarrow frac{200 times 50}{frac{1}{4}}=frac{M_{2} times 100}{frac{3}{4}} ) ( 200 times 50 times 3=M_{2} times 100 ) ( Rightarrow mathrm{M}_{2}=300 ) ( therefore ) Additional men ( =100 )
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