document.write( "Question 1194893: Eric can clean the garden in 5 hours. After working alone for 2 hours, Leo joined him. Together they finished the job in one more hour. How long would it take Leo to clean the garden alone. \n" ); document.write( "
Algebra.Com's Answer #827191 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "You should know how to solve the problem using formal algebra, similar to what is shown in the other response you have received. \n" ); document.write( "But solving a problem like this using logical reasoning and simple arithmetic is valuable brain exercise. \n" ); document.write( "Eric works a total of 3 hours on the job; since he can do the whole job in 5 hours, he does 3/5 of the job. \n" ); document.write( "That means Leo, in working 1 hour, does 2/5 of the job. \n" ); document.write( "And that means the amount of time Leo would need to do the whole job alone is 5/2 hours. \n" ); document.write( "A different thought process for reaching the final answer is to note that in the last hour working together they do 3/5 of the job, while Eric does 1/5 of the job. That means Leo does 2/5 of the job in that hour; so he works twice as fast as Eric. Then, since it takes Eric 5 hours to do the job alone, it would take Leo half as much time, which is 2.5 hours. \n" ); document.write( " \n" ); document.write( " |