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Tom can alone complete the work in 8 days while Tom & Jerry together can complete the same work in 2(2/3) days. Find the number of days required by Jerry alone to complete double work.

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  1. 4 days
  2. 6 days
  3. 8 days
  4. 10 days
  5. 12 days

Answer (Detailed Solution Below)

Option 3 : 8 days
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Detailed Solution

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Given:

Tom can complete the work in 8 days.

Tom and Jerry together can complete the work in 2(2/3) days.

Calculation:

Total work = LCM( 8, 8/3) = 8 units

Efficiency of Tom = 8/8 = 1 unit per day

Efficiency of Tom and Jerry = (8 × 3)/8 = 3 unit per day

Efficiency of Jerry = 3 - 1 = 2 unit per day

Double work = 8 × 2 = 16 units

Days required by Jerry alone to complete double work = 16/2 = 8 days

∴ Option 3 is the correct answer.

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