Raju and Rajat working together take 5 days to complete a piece of work. If Raju alone can do this work in 7 days, how long would Rajat take to complete the same work?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 18 days
  2. 16.5 days
  3. 17 days
  4. 17.5 days

Answer (Detailed Solution Below)

Option 4 : 17.5 days
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Detailed Solution

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Given:

(Raju + Rajat) together complete the work = 5 days

Raju alone can complete the work = 7 days.

Formula used:

Total work = efficiency × time

Calculation:

Efficiency Person Time Total work
7 Raju + Rajat 5 35
5 Raju 7

Now,

Efficiency of Rajat = (7 - 5) = 2 unit/day

Time taken to complete the work by Rajat = 35/2 = 17.5 days

∴ The correct answer is 17.5 days.  

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