Question

A letter is typed by A ,B,Cand D in 4,5,6 and10 min respectively..what is the average time taken to complete a letter??how many letters do expect to be typed in one day comprising 8 working hrs??​

Answer 1

Given:

A letter is typed by A ,B,Cand D in 4,5,6 and10 min respectively.

To find:

• Average time to complete a letter.

• Total number of letter to be typed in 1 day with 8 working hours.

Calculation:

Let average time be t ;

$\therefore \: \rm{t = \dfrac{ \sum(time)}{ \sum (people)} }$

$= > \: \rm{t = \dfrac{4 + 5 + 6 + 10}{ 4} }$

$= > \: \rm{t = \dfrac{25}{ 4} }$

$\boxed{= > \: \rm{t = 6.25 \: min}}$

So , total number of words typed in 8 hours by all people be W ;

$= > \rm{W = (\frac{8 \times 60}{4} ) + (\frac{8 \times 60}{5} ) + (\frac{8 \times 60}{6} )+ (\frac{8 \times 60}{10}) }$

$\rm{ = >W = (8 \times 60)( \dfrac{1}{4} + \dfrac{1}{5} + \dfrac{1}{6} + \dfrac{1}{10}) }$

$\rm{ = >W = (480)( \dfrac{1}{4} + \dfrac{1}{5} + \dfrac{1}{6} + \dfrac{1}{10}) }$

$\rm{ = >W = (480)( \dfrac{15 + 12 + 10 + 6}{60} ) }$

$\rm{ = >W = (480)( \dfrac{43}{60} ) }$

$\boxed{ \rm{ = >W = 344 \: words }}$

Hope It Helps.