Maths-

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Easy

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?

Hint:

**Hint:**

When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres.

## The correct answer is: 36/13 hours.

### Step 1 of 2:

It is given that Sita can finish typing a 100 page document in 9 hours, Mita in 6 hours and Rita in 12 hours.

So, Pages typed by Sita in 1 hour =

Pages typed by Mita in 1 hour =

Pages typed by Rita in 1 hour =

Step 2 of 2:

Let the time taken to type a 100 page document if they work together be t

Now, Pages typed by Sita in t hour + Pages typed by Mita in t hour + Pages typed by Rita in t hour = 100

t = hours

Final Answer:

Hence, the time taken to type a 100 page document if they work together is hours.

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