Question

Sandip can finish a work in the same time in which suman and palash together can finish the same work. Sandip and suman together can finish the work in 16 days and palash alone can finish the work in 40 days. In how many days, suman alone can finish the work?

Answer 1

Answer:

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Answer 2

Suman alone can finish the work in $\frac{160}{3}\ or\ 55\frac{1}{3}$ days .

Step-by-step explanation:

Consider the provided information.

It is given that Sandip and Suman together can finish the work in  16 days.

Sandip and Suman’s 1 day’s work = $\frac{1}{16}$

Palash’s 1 day’s work = $\frac{1}{40}$

Sandip can finish a work in the same time in which suman and palash together can finish the same work.

Thus, Sandip suman and palash's 1 day work is:

$\frac{1}{16} + \frac{1}{40} = \frac{7}{80}$

2 × Sandip’s 1 day’s work = $\frac{7}{80}$

Sandip’s 1 day’s work = $\frac{7}{160}$

Then, Suman’s 1 day’s work is:  $\frac{1}{16}-\frac{7}{160}=\frac{3}{160}$

Hence, Suman alone can finish the work in $\frac{160}{3}\ or\ 55\frac{1}{3}$ days .

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