Question 92

Prashanth is twice as good a sportsman as Tarun and together they finish a piece of work in 21 days. In how many days will Tarun alone finish the work?

Solution

Let the work done by Tarun in 1-day = 'x'.

Given that prashanth is twice as good as Tarun.

Then the work done by prashanth in 1-day = '2x'.

Given that together they finish the work in 21 days.

So, work done by them in 1-day $$= \frac{1}{21}$$

= > x + 2x = $$ \frac{1}{21}$$

= > 3x $$= \frac{1}{21}$$

= > x $$= \frac{1}{63}$$

So, Tarun alone can complete the work in 63 days.

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