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# Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together? - Mathematics

Course
ConceptTime and Work

#### Question

Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together?

#### Solution

$\text{ Time taken by Sita to do the work = 9 hours }$
$\text{ Time taken by Mita to do the work = 6 hours }$
$\text{ Time taken by Rita to do the work = 12 hours }$
$\text{ Now, }$
$\text{ Work done by Sita } = \frac{1}{9}$
$\text{ Work done by Mita } = \frac{1}{6}$
$\text{ Work done by Rita } = \frac{1}{12}$
$\therefore \text{ Work done by them together } = \frac{1}{9} + \frac{1}{6} + \frac{1}{12}$
$= \frac{4 + 6 + 3}{36} = \frac{13}{36}$
$\text{ Thus, together they can do the work in } \frac{36}{13} \text{ hours } .$

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#### APPEARS IN

Solution Sita can finish typing a 100 page document in 9 hours. Mita in 6 hours and Rita in 12 hours. How long will they take to type a 100 page document if they work together? Concept: Time and Work.
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