Question:medium

A can finish a piece of work in 12 days and B can finish it in 15 days. Working together, they will finish the work in

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Add the per-day fractions, then take the reciprocal for the combined time.
Updated On: Jul 8, 2026
  • 7 days
  • 6 days
  • 6 and 2/3 days
  • 7 and 1/2 days
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The Correct Option is C

Solution and Explanation

Step 1: Use total units.
Let the work be $\mathrm{LCM}(12,15)=60$ units.
Step 2: Rates in units per day.
A does $5$/day, B does $4$/day, together $9$/day.
Step 3: Divide.
$\dfrac{60}{9}=6\tfrac{2}{3}$ days.
\[\boxed{6\tfrac{2}{3}\ \textrm{days}}\]
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