Question

Chetan is thrice as efficient as mamta and together they can finish a piece of work in 60 days. Mamta will take how many days to finish this work alone?

Answer 1

Answer:

Mamta will take 240 days to finish the work alone.

Step-by-step explanation:

Consider the provided information.

Chetan is thrice as efficient as Mamta.

Let,  Mamta can finish a work in 3x days and Chetan can finish the same work in x days.

They finish a piece of work in 60 days.

Therefore,

$\frac{1}{x} + \frac{1}{3x} = \frac{1}{60}$

$\frac{3+1}{3x} = \frac{1}{60}$

$\frac{4}{3x} = \frac{1}{60}$

$3x = 60\times 4$

$x = 20\times 4$

$x = 80$

Thus, Mamta will take 80 × 3 = 240 days to finish the work alone.

Answer 2

Answer:

Step-by-step explanation:

Mamta will take 240 days to finish the work alone.

Step-by-step explanation:

Consider the provided information.

Chetan is thrice as efficient as Mamta.

Let,  Mamta can finish a work in 3x days and Chetan can finish the same work in x days.

They finish a piece of work in 60 days.

Thus, Mamta will take 80 × 3 = 240 days to finish the work alone.