Question

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?

• A. X
• B. Y
• C. Z
• D. X & Z both

Answer 1

Answer: (C)

Z

Answer 2

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 × $\frac{1}{0.4}=100$ 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.The correct option is (C): Z