As a worker, Ajit is thrice as good as Dev. If both working together can finish

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Question

As a worker, Ajit is thrice as good as Dev. If both working together can finish the work in 5 days, then determine the time taken by Ajit to complete the work alone.

Options:

A . 103 days

B . 5 days

C . 203 days

D . 7 days

Answer: Option C
:
C
Suppose Ajit can finish the work in ‘x’ days. In one day he can do

(\frac{100}{x}) %

of the work.
As Ajit is thrice as good as Dev, Dev will do

{\frac{1}{3}}^{r d}

of what Ajit can do in a day.
So, Dev can do

(\frac{100}{3 x}) %

of work in a day.
Now they complete the work in 5 days, so in 1 day they must be doing

\frac{100}{5} = 20 %

of the work.
So,

(\frac{100}{x}) + (\frac{100}{3 x}) = 20

x = (\frac{20}{3})

So, Ajit can complete the work alone in

(\frac{20}{3})

days. Hence option (d).
2nd method:- Efficiency

A = 3 D, 5 (A + D) = n A (i . e .,) 5 \times \frac{4}{3} A = n A, n = \frac{20}{3}

days.

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