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

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

A. y
B. z
C. x
D. X and Z both












Answer: Option B

Explanation:
x can do 1/4 of work in = 10 days
so x can do whole work in = (10 x 4) = 40 days.

Y can do (40% or 40/100)of work in = 40 days
so Whole work can be done by Y = (40x100/40)= 100 days.

Z can do 1/3 of work in = 13 days
Whole work will be done by Z in (13 x 3) = 39 days.

so compare x , y ,z work compare = y > x > z
so Z can complete the work first.