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Sakshi can do a piece of work in 20 days. Tanya is 25 % more efficient than Sakshi. How many days will Tanya take to do the same piece of work ?

Sakshi can do a piece of work in 20 days. Tanya is 25 % more efficient than Sakshi. How many days will Tanya take to do the same piece of work ? Correct Answer 16

Given:

Time taken by Sakshi to complete the work = 20 days

Tanya is 25% more efficient than Sakshi.

Formula used:

e1 : e2 = d2 : d1

Where e1 and e2 are the efficiencies of two persons and d1, d2 are the number of days to complete the work.

Calculation:

Let the number of days to complete the work be x.

25% = 25/100

⇒ 25% = 1/4

Let the efficiency of Sakshi be 4x.

The efficiency of Tanya = 4x + 4x × (1/4)

⇒ The efficiency of Tanya = 5x

According to the question,

4/5 = x/20

⇒ x = 16

∴ Tanya will complete the work in 16 days.

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