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Question: Amit types \(52\) words in 2 minutes and takes \(26\) minutes to type a given matter. But next time ...

Amit types 5252 words in 2 minutes and takes 2626 minutes to type a given matter. But next time he types 6060 words per minute. How much time will he take to type the same matter next time?

Explanation

Solution

Words per minute, commonly abbreviated ‘wpn’ is a measure of ‘words’ Processed in a minute, often used as a measurement of the speed of typing, reading or morse code sending and receiving.
Here we can use the unit approach, let A can do a piece of work in 2020days than one day work of A will be 120\dfrac{1}{{20}}, If he works for 33days than total work done by A in 33days will be 320\dfrac{3}{{20}}.

Complete step by step solution:
Given:
Amit types 5252words in 22minutes and takes 2626minutes to type a given matter.
5252words =2 = 2minutes
In 11 minute he types =522=26 = \dfrac{{52}}{2} = 26words
Word =26×26 = 26 \times 26
=676= 676words
Now,
6060words per minutes
Then for 676676words =676min60 = \dfrac{{676\min }}{{60}}
=33830= \dfrac{{338}}{{30}}
=16915minutes= \dfrac{{169}}{{15}}\,\,\,\min utes

Hence,
He will take 16915minutes\dfrac{{169}}{{15}}\,\,\,\min utes
Or 11.2611.26 minutes to type the same matter next time.

Note: Words Per minutes measured like the example given below
If we type “Hello world. It is a nice day”.
took 11 minute to enter that text. Here’s How we get WPN speed in terms of WPN that’s 305=6\dfrac{{30}}{5} = 6 words (because with WPN a word is 55 keystrokes)
So, the speed is 66 WPN