document.write( "Question 734376: if a takes an old sweeper 30 hour to clean a street and takes a new and old sweepers together only 7.5 hours to clean the same street, then how long would it take for new sweeper to cleanse the same street? \n" ); document.write( "
Algebra.Com's Answer #852719 by greenestamps(13258) You can put this solution on YOUR website! \n" ); document.write( "An informal solution, using logical reasoning instead of the formal algebra shown in the response from the other tutor.... \n" ); document.write( "When the new sweeper joins the old one, the job is completed in 1/4 as much time (7.5 hours instead of 30), so it is as if there are now 4 of the old sweepers working. \n" ); document.write( "That means the new sweeper does as much work as 3 of the old sweepers. \n" ); document.write( "And since the old sweeper can do the job alone in 30 hours, the new sweeper can do the job alone is 1/3 as much time, which his 10 hours. \n" ); document.write( "ANSWER: 10 hours \n" ); document.write( " \n" ); document.write( " |