document.write( "Question 1186169: An office needs 20 copies of a 420-page report. One photocopier can copy 1800 pages per hour. Another copier is faster and can copy 2400 pages per hour. To find the time it would take the two copiers together to complete the project, you can use this verbal model. Assign labels to the model to form an equation. \"the rate of the first machine\" 'times' \"the time to complete\" 'plus' \"the rate of the second machine\" 'times' \"the time to complete\" 'equals' \"total pages\"
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #817062 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Using the model suggested in your post....

\n" ); document.write( "Let t = # of hours to complete the job

\n" ); document.write( "(pages per hour of the first machine) * (# of hours to complete) + (pages per hour of the second machine) * (# of hours to complete) = (total pages)

\n" ); document.write( "(1800)(t)+(2400)(t)=20(420)
\n" ); document.write( "1800t+2400t=8400
\n" ); document.write( "4200t=8400
\n" ); document.write( "t=8400/4200=2

\n" ); document.write( "ANSWER: 2 hours

\n" ); document.write( "
\n" ); document.write( "
\n" );