MAT 2004 Question Paper

Question 148

A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days, since 9 people were absent throughout. How many people were supposed to be working originally?

Solution

Using $$M_1D_1=M_2D_2$$

Let $$x$$ people were supposed to work initially.

=> $$x\times24=(x-9)\times32$$

=> $$3x=4(x-9)$$

=> $$3x=4x-36$$

=> $$x=36$$

=> Ans - (C)


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