Multiple choice

$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. What part of the same work they can finish in a day if they work together?

  1. $\dfrac{1}{6}$
  2. $\dfrac{1}{9}$
  3. $\dfrac{2}{5}$
  4. $\dfrac{2}{7}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A takes 18 days. B takes 9 days. A's daily work = 1/18. B's daily work = 1/9. Together = 1/18 + 2/18 = 3/18 = 1/6.

AI explanation

A's daily work is 1/18 and since B takes half the time, B's daily work is 1/9. Using the work addition method, their combined daily work equals 1/18 plus 1/9, which is 1/18 plus 2/18. Adding these fractions gives 3/18, which simplifies to 1/6. Therefore, they can finish 1/6 of the work in one day.

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