A man can finish a work in 10 days and a woman can finish it in 12 days. In how many days will the work be finished by a man and a woman, working together every day?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
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  1. \(\frac{60}{11}\)
  2. \(\frac{61}{10}\)
  3. \(\frac{31}{10}\)
  4. \(\frac{30}{11}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{60}{11}\)
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Detailed Solution

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Given

A man can finish a work in 10 days and a woman can finish it in 12 days.

Concept used

Total work = Number of days × Efficiency

Calculation

Work done by man in one day = 1/10

Work done by a woman in one day = 1/12

Together they will do in: 1/10 + 1/12

= 11/60

They will together complete the work in = 60/11 days

The answer is 60/11 days.

Alternate Method 

Time Total work Efficiency
10 60 6
12 5

 

They will together complete the work in = 60/(6 + 5) = 60/11 days.

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