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Maths-

General

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:

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 = $100 over 9$
Pages typed by Mita in 1 hour = $100 over 6$
Pages typed by Rita in 1 hour = $100 over 12$
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
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 100 over 9 t plus 100 over 6 t plus 100 over 12 t equals 100 end cell row cell 100 t open parentheses 1 over 9 plus 1 over 6 plus 1 over 12 close parentheses equals 100 end cell row cell t cross times 13 over 36 equals 1 end cell end table$
t = $36 over 13$ hours
Final Answer:
Hence, the time taken to type a 100 page document if they work together is $36 over 13$ hours.

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