Question

Question No : 21
Mr Shetty had enough money to pay wages of Neeraja for 40days or Nagamma for 50 days. He
decided to employ both of them together. For how many days can he manage with the money?​

Answer 1

Given:

Mr Shetty had enough money to pay the wages of Neeraja for 40days or Nagamma for 50 days. He decided to employ both of them together.

To find:

For how many days can he manage with the money?​

Solution:

Neeraja can work for 40 days

∴ In 1 day, Neeraja does = $\frac{1}{40}$ of the work

Nagamma can work for 50 days

∴ In 1 day, Nagamma does = $\frac{1}{50}$ of the work

Now,

If Mr. Shetty employs both of them together, then in 1 day they both will do,

= $\frac{1}{40} + \frac{1}{50}$

= $\frac{5 + 4}{200}$

= $\frac{9}{200}$

∴ They both will complete the work in → $\frac{200}{ 9}\:days = 22\frac{2}{9} \:days$

Thus, Mr. Shetty can manage with money for approximately → $\underline{\bold{ 22\frac{2}{9} \:days}}$.

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