Multiple choice

To complete a wall, X takes 50 percent more time than Y. If together they complete the wall in 15 days, then how much time will X alone take to complete it?

  1. 36.5 days

  2. 42.5 days

  3. 37.5 days

  4. 40 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Y's time = y days, so X's time = 1.5y (50% more). Their combined rate: 1/y + 1/(1.5y) = 1/15. Solving gives 2.5/(1.5y) = 1/15, so y = 25 days for Y. Therefore X takes 1.5 × 25 = 37.5 days alone. Always convert 'more time' to a multiplier.

Keep practicing — related questions