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Question 43

X can do $$\frac{1}{4}$$ of a work in 10 days, Y can do 40% of the work in 40 days and Z can do $$\frac{1}{3}$$ of the work in 13 days. Who will complete the work first?

Solution

Given, X can complete $$\frac{1}{4}$$ of the work in 10 days i.e he can complete the whole work in 10 x 4 = 40 days

Y can do 40% of the work in 40 days i.e he can complete the whole work in 40 x $$\frac{1}{0.4}$$ = 100 days

Z can do $$\frac{1}{3}$$rd of the work in 13 days i.e he can complete the whole work in 13 x 3 = 39 days

Z will complete the work first.

Hence, option C is the correct answer.

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