The Lightning laser printer prints 35% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs? Round your...

The Lightning laser printer prints 35% more pages per minute than the Reliable laser printer. What percentage less time than the Reliable will the Lightning require for long print jobs?

Round your final answer properly in % to two decimal places.

____________ %

Asked on by french1000

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tonys538 | Student, Undergraduate | (Level 1) Valedictorian

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The Lightning laser printer prints 35% more pages per minute than the Reliable laser printer.

If the Reliable laser printer prints x pages in a given period of time, the Lightning laser printer prints x*(1+0.35) = 1.35*x in the same time.

The time taken by the Lightning printer to complete a job that the Reliable laser printer takes x hours is `x/1.35` hours.

The saving in time is equal to `(100*(x - x/1.35))/x` = 25.9%

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llltkl | College Teacher | (Level 3) Valedictorian

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Let the no. of pages printed by Reliable laser printer in 1 min. be 100.

So, the no. of pages printed by Lightning laser printer in 1 min.= 135

Time taken by Lightning laser printer to print 135 pages = 1 min.

Hence, time taken by it to print 100 pages=`100/135` =0.740741 min.

Less time taken by the Lightning laser printer than the Reliable laser printer=(1-0.740741)=0.259259 min.

Therefore, percentage less time taken by the Lightning laser printer than the Reliable laser printer = 25.9259`~~` 25.93

Answer- 25.93 % less time will be required by the Lightning laser printer.

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