Question

Amit types $52$ words in 2 minutes and takes $26$ minutes to type a given matter. But next time he types $60$ words per minute. How much time will he take to type the same matter next time?

Answer 1

Hint: 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 \[20\]days than one day work of A will be \[\dfrac{1}{{20}}\], If he works for \[3\]days than total work done by A in \[3\]days will be \[\dfrac{3}{{20}}\].

Complete step by step solution:
Given:
Amit types $52$words in $2$minutes and takes $26$minutes to type a given matter.
$52$words $ = 2$minutes
In $1$ minute he types $ = \dfrac{{52}}{2} = 26$words
Word $ = 26 \times 26$
            $ = 676$words
Now,
$60$words per minutes
Then for $676$words $ = \dfrac{{676\min }}{{60}}$
                                     $ = \dfrac{{338}}{{30}}$
                                      $ = \dfrac{{169}}{{15}}\,\,\,\min utes$

Hence,
He will take $\dfrac{{169}}{{15}}\,\,\,\min utes$
Or $11.26$ 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 $1$ minute to enter that text. Here’s How we get WPN speed in terms of WPN that’s $\dfrac{{30}}{5} = 6$ words (because with WPN a word is $5$ keystrokes)
So, the speed is $6$ WPN