UPSC Prelims 2016·CSAT·Quantitative Aptitude·Time and Work

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?

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Last updated 23 May 2026, 3:31 pm IST
  1. AW
  2. BX
  3. CY
  4. DZCorrect

Explanation

To find out who completes the work first, we need to calculate the total time each person takes to complete 100 percent of the work. For W: 25 percent is done in 30 days. To do 100 percent, W takes 30 multiplied by 4, which equals 120 days. For X: 1/4 of the work is done in 10 days. To do the full work, X takes 10 multiplied by 4, which equals 40 days. For Y: 40 percent is done in 40 days. This means 1 percent is done in 1 day. To do 100 percent, Y takes 100 days. For Z: 1/3 of the work is done in 13 days. To do the full work, Z takes 13 multiplied by 3, which equals 39 days. Comparing the total days: W takes 120 days, X takes 40 days, Y takes 100 days, and Z takes 39 days. Since Z takes the least amount of time, Z will complete the work first. The correct answer is D.
Quantitative Aptitude: 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
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