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Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?

Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work? Correct Answer Never

Given:

Anup can dig a well in = 10 days

Efficiency of worker falls by = 10%

Formula used:

GP = a/ (1 – r)

Calculation:

Let us assume that digging one well = 40 unit

Efficiency of Anup = 40/10 = 4 unit/day

Now efficiency is falling by 10%

So, this is case of GP

⇒ 4,18/5,81/25,…… where common ratio = 9/10

Now, sum of infinite GP = a / (1 – r)

⇒ 4/ (1 – 9/10) = 40

Hence, it is clear that Anup will takes infinite time, so he will never finish the work.

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