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30 men can complete a work in 16 days. Six days after they started working, 15 more men joined them. How many days will they now take to complete the remaining work?

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  1. 5 days 
  2. 20/3 days 
  3. 8 days 
  4. 10/3 days

Answer (Detailed Solution Below)

Option 2 : 20/3 days 
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Detailed Solution

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Calculation:

Total Work = 30 × 16 = 480 units

Work done in 1 day =  units

Work done in 6 days =  =  units

Remaining work = 1 - = units

Work remaining =  × 480 = 300 units

Total men = 30 + 15 = 45

Days required =  = days

∴ days are needed to complete the remaining tasks.

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