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Pen and Pencil can together complete a work in 45 days. The pencil is twice efficient as Pen then find the number of days in which the pen will alone complete the work?

1. 75 days
2. 60 days
3. 135 days
4. 120 days

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Correct Answer - Option 3 : 135 days


Pen and pencil can together complete a work in 45 days

The pencil is twice efficient as pen

Formula Used:

Work = Efficiency × Time


Let the efficiency of Pen be p then the efficiency of Pencil is 2p

Total work = 45

The efficiency of Pen and pencil = 45/45

⇒ 1

The efficiency of pencil = 1 – p

⇒ 1 – p = 2p

⇒ p = 1/3

The efficiency of Pen = 1/3

Time = 45/(1/3)

⇒ 135 days

∴ The pen will alone complete the work in 135 days.

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