QUESTION

CSAT

Medium

Maths

Prelims 2016

W can do 25%25\% of a work in 30 days, X can do 14\frac{1}{4} of the work in 10 days, Y can do 40%40\% of the work in 40 days and Z can do 13\frac{1}{3} of the work in 13 days. Who will complete the work first?

Select an option to attempt

Explanation

Given: W can do 25% of work in 30 days. X can do 1/4 of the work in 10 days. Y can do 40% of the work in 40 days. Z can do 1/3 of the work in 13 days. Step-by-Step Calculation: W's rate of work: W can do 25% of work in 30 days. 30/(25100)30/(\frac{25}{100}) Result: 120 days

X's rate of work: X can do 1/4 of the work in 10 days. =10/(14)=10/(\frac{1}{4}) Result: 40 days

Y's rate of work: Y can do 40% of the work in 40 days. =40/(40100)=40/(\frac{40}{100}) Result: 100 days

Z's rate of work: Z can do 1/3 of the work in 13 days. =13/(13)=13/(\frac{1}{3}) Result: 39 days. Therefore, Z completed the work first

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