Question

Pankaj creates paper of $60$ pages for a company. His average typing speed is $45$ words per minute. Let one page contains $500$ words, which of the following gives relation between prose pages $p$ as a function of the number of minutes $m$ that Pankaj types.

• A. $p\left(m\right)=60-\frac{9m}{100}$
• B. $p\left(m\right)=\frac{60-100}{9m}$
• C. $p\left(m\right)=60-\frac{100}{9m}$
• D. $p\left(m\right)=\frac{60-9m}{100}$

Answer 1

The correct option is A $p\left(m\right)=60-\frac{9m}{100}$

Given, Pankaj average typing speed is is $45$ words per minutes

Then Pankaj type words in $m$ minutes $=45m$

Then pankaj pages in $m$ minutes $=$ $\frac{500}{45m}=\frac{100}{9m}$

Then relation between prose pages $p$ as a function of minutes $m$ that pankaj types is

$p\left(m\right)=60-\frac{9m}{100}$