A, B and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?

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SSC MTS (2022) Official Paper (Held On: 16 May, 2023 Shift 2)
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  1. 60 days
  2. 30 days
  3. 15 days
  4. 20 days

Answer (Detailed Solution Below)

Option 2 : 30 days
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Detailed Solution

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Given: 

A, B and C together can complete a work in 5 days.

A and B together can complete the same work in 6 days.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day.   

Calculation:

Let total work is 1 

A, B and C together can complete in 1 day is 1 / 5 part

A and B together can do in 1 day 1 / 6 part

So, C can do in one day ,

(A, B and C together can complete in 1 day  A and B together can do in 1 day )

1 / 5 - 1/ 6 

⇒ \({6 - 5}\over 30\)

⇒ 1 / 30

∴  C can do the total work in 30 days

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