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)\"\" \"About 
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\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

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