Question

The average length of time that three computers operate on a given day is 960 minutes. None of the computers operate for less than 930 minutes. What is the greatest possible length of time any one of the computers operates

Answer 1

The greatest possible length of time will be "1020 min".

Given:

The average length of time,

= 960

For all 3 computers,

The minimum length of time,

= 930

Let,

• The length of time of 2 computers will be "930".
• The 3rd one be "930+x".

Now,

→     $\frac{930+930+930+x}{3} = 960$

→  $\frac{930+930+930}{3} +\frac{x}{3} =960$

→           $\frac{3\times 930}{3} +\frac{x}{3} =960$

→              $930+\frac{x}{3}=960$

→                        $\frac{x}{3} = 960-930$

→                        $x = 30\times 3$

→                        $x = 90$

hence,

The greatest possible length of time will be:

=  $930+x$

=  $930+90$

=  $1020 \ min$

Thus the above is the appropriate answer.

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