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# Mohan Takes 9 Hours to Mow a Large Lawn. He and Sohan Together Can Mow It in 4 Hours. How Long Will Sohan Take to Mow the Lawn If He Works Alone? - Mathematics

Course
ConceptTime and Work

#### Question

Mohan takes 9 hours to mow a large lawn. He and Sohan together can mow it in 4 hours. How long will Sohan take to mow the lawn if he works alone?

#### Solution

$\text{ Time taken by Mohan to do the work = 9 hours}$
$\text{ Time taken by Mohan and Sohan to do the work = 4 hours }$
$\therefore \text{ Work done by Mohan } = \frac{1}{9}$
$\text{ Work done by Mohan and Sohan } = \frac{1}{4}$
$\therefore \text{ Work done by Sohan } = \frac{1}{4} - \frac{1}{9}$
$= \frac{9 - 4}{36} = \frac{5}{36}$
$\text{ Thus, Sohan can do the work in } \frac{36}{5} \text{ hours i . e } . 7\frac{1}{5}\text{ hours } .$

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Solution Mohan Takes 9 Hours to Mow a Large Lawn. He and Sohan Together Can Mow It in 4 Hours. How Long Will Sohan Take to Mow the Lawn If He Works Alone? Concept: Time and Work.
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