Some harry can rake the leaves in the yard 8 hours faster than his little brother jimmy can. if they work together, they can complete the job in 3 hours. using complete sentences, explain each step in figuring out how to determine the time it would take jimmy to complete the job on his own.

use rates, the rate a person is working is the reciprocal of the time working together, they work at a rate of 1/3 job per hour when two people work together their rates add together ---> 1/h + 1/j = 1/3 ---> h = j - 8 (harry takes 8 hrs less than jimmy) substitute and solve for j

the answer is 3/5

step-by-step explanation:

first divide 24 divided by 8 because that is the least common multiple

then divide 40 by 8

then you will get 3/5.