Question 144

If 42 persons consume 144 kg, of wheat in 15 days, then in how many days will 30 persons consume 48 kg of wheat ?

Solution

Using, $$\frac{M_1D_1}{W_1}$$ $$=\frac{M_2D_2}{W_2}$$, where $$M$$ is number of men, $$D$$ is number of days and $$W$$ is work done.

Let in $$x$$ days, 30 persons will consume 48 kg of wheat.

According to ques,

=> $$\frac{42\times15}{144}=\frac{30\times x}{48}$$

=> $$\frac{7\times5}{8}=\frac{5x}{8}$$

=> $$x=7$$

$$\therefore$$ 30 persons will consume 48 kg of wheat in 7 days.

=> Ans - (B)


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