document.write( "Question 1198709: With two reapers operating, a field can be harvested in 1 h. If only the newer reaper is used, the crop can be harvested in 1.5 h. How long would it take to harvest the field using only the older reaper? \n" ); document.write( "
Algebra.Com's Answer #832351 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "You have two different responses that show two different ways to solve \"working together\" problems like this. Here is a third method. \n" ); document.write( "Consider the least common multiple of the two given times, which is 3 hours. \n" ); document.write( "The two reapers together harvest the field in 1 hour; so in 3 hours, the two reapers together could harvest a field that size 3/1 = 3 times. \n" ); document.write( "The newer reaper can harvest the field in 1.5 hours; so in 3 hours, the newer reaper could harvest a field that size 3/1.5 = 2 times. \n" ); document.write( "So in 3 hours, the older reaper could harvest a field that size 3-2 = 1 time. \n" ); document.write( "So it would take the older reaper 3 hours to harvest the field. \n" ); document.write( " \n" ); document.write( " |