Multiple choice

Mr. X finishes 60% of a work in 9 days, and then is joined by Mr. Y and they together finish the next 10% work in 1 day. How long would it take if Y alone is asked to finish the next 5% of the work?

  1. 1 1 2 days

  2. 1 30 days

  3. 1 2 days

  4. 1 20 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X does 60% in 9 days, so 10% in 1.5 days. X+Y do 10% in 1 day. Y's rate = 10% in (1/ (1 - 1/1.5)) = 10% in 3 days. Y does 5% in 1.5 days (1 1/2 days).

AI explanation

Mr. X finishes 60 percent of the work in 9 days, so using the basic work formula, his rate is 60/9 percent per day, or 20/3 percent per day. When X and Y work together, they finish 10 percent in 1 day, meaning Y's alone rate is 10 minus 20/3, which is 10/3 percent per day. To finish the next 5 percent of the work alone, Y takes 5 divided by 10/3, which equals 15/10 days, or 1 and 1/2 days.

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