Multiple choice

For doing some work Ganesh takes $10$ days more than John. If both work together they will complete the work in $12$ days. Find the number of days if Ganesh works alone ?

  1. $10$ days
  2. $20$ days
  3. $30$ days
  4. $40$ days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ganesh take x days, John takes x-10 days. Together: 1/x + 1/(x-10) = 1/12. Solving x^2 - 34x + 120 = 0 gives (x-30)(x-4) = 0. Since x > 10, x = 30.

AI explanation

Let John take x days, so Ganesh takes (x + 10) days. Using the combined work formula, 12 times x plus 12 times (x + 10) equals x times (x + 10), which simplifies to x squared minus 14x minus 120 equals zero. Factoring this gives x equal to 20, meaning John takes 20 days. Ganesh takes 20 plus 10 days, resulting in 30 days.

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