A, B and C can separately complete a work in 12, 15 and 20 days, respectively. They worked together 4 days. What will be the remaining work?

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 4)
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  1. \(\frac{1}{2}\)
  2. \(\frac{1}{5}\)
  3. \(\frac{1}{6}\)
  4. \(\frac{1}{8}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{1}{5}\)
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Detailed Solution

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Given:

A, B and C can do work in 12, 15, and 20 days respectively

Formula Used:

Total work = Efficiency × Time taken

Calculation:

Total work = 60 units (LCM of 12, 15, 20)

⇒ Efficiency of A = 60/12 = 5 units/day

⇒ Efficiency of B = 60/15 = 4 units/day

⇒ Efficiency of C = 60/20 = 3 units/day

4 day's work = (5 + 4 + 3) × 4 = 48

Remaining work = (60 - 48)/60

⇒ 1/5

The remaining work is 1/5.

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