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Let time taken by Karan to complete the work = t days
Rahul takes 2 × (2t/3) = 4t/3 days.
Efficiency of Karan = 1/t,
Efficiency of Rahul = 3/4t.
Total efficiency = 1/t + 3/4t = 1/14
Solving for t, we get t = 24.5 days.
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