csatmedium
W can do 25% of a 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 and Z can do 1/3 of the work in 13 days. Who will complete the work first ?
- A.W
- B.X
- C.Y
- D.Z
▶ Answer & Explanation
Correct answer: D. Z
To determine who completes the work first, we need to calculate the time each person takes to complete the entire work. W completes 25% (1/4) in 30 days, so takes 30 * 4 = 120 days for the whole work. X completes 1/4 in 10 days, so takes 10 * 4 = 40 days for the whole work. Y completes 40% (2/5) in 40 days, so takes 40 * (5/2) = 100 days for the whole work. Z completes 1/3 in 13 days, so takes 13 * 3 = 39 days for the whole work. Comparing these times, Z takes the least amount of time (39 days) to complete the work.
Source: UPSC csat 2016