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Abhay and Bharat can complete a certain piece of work in 17 and 10 days, respectively, They started to work together, and after 3 days, Bharat left. In how many days will Abhay complete the remaining work?

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RPF Constable 2024 Official Paper (Held On 02 Mar, 2025 Shift 2)
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  1. \(\frac{1515}{171}\)
  2. \(\frac{1513}{170}\)
  3. \(\frac{1511}{170}\)
  4. \(\frac{1513}{172}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{1513}{170}\)
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Detailed Solution

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Given:

Abhay can complete the work in 17 days.

Bharat can complete the work in 10 days.

They worked together for 3 days, then Bharat left.

Calculation:

Work remaining after 3 days = Total work - Work done in 3 days

Time taken by Abhay to complete the remaining work = Remaining work / Work done by Abhay in 1 day

Work done by Abhay in 1 day = 1/17

Work done by Bharat in 1 day = 1/10

Work done by both in 1 day = 1/17 + 1/10 = 27/170

Work done by both in 3 days = 3 × 27/170 = 81/170

Work remaining = 1 - 81/170 = 89/170

Time taken by Abhay to complete the remaining work = (89/170) / (1/17)

⇒ Time taken by Abhay to complete the remaining work = 1513/170

∴ The correct answer is option 2.

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