Seema alone can do a piece of work in 8 days and her sister Reema alone can do the same work in 24 days. If they worked together, then in how many days they will complete the work? 

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SSC MTS (2022) Official Paper (Held On: 11 May, 2023 Shift 1)
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  1. 8 days
  2. 6 days
  3. 10 days
  4. 4 days

Answer (Detailed Solution Below)

Option 2 : 6 days
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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90 Questions 150 Marks 90 Mins

Detailed Solution

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Given : 

Seema can do piece of work in 8 days.

Reema can do the same work in 24 days.

Formula Used : 

Work done  =  time × efficiency

Calculation : 

Work = LCM (8 , 24) = 24

Efficiency of Seema = 24/8 = 3 

Efficiency of Reema = 24/24 = 1

Time taken by Seema and Reema together = 24/4 = 6

∴ The correct answer is 6 days.

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