+389 Working together, Evan and Ellie can do the garden chores in 6 hours. It takes Evan twice as long as Ellie to do the work alone. How many hours does it take Evan working alone?
+129852 Let x be the time that Ellie takes to do the job alone......and Evan takes 2x....so we have
Then, the amount of work that Ellie does in one hour is 1/x .....and the amount that Evan does is 1/(2x)
And ...Rate x Time = Amount of the job done......so......
6(1/x) + 6(1/(2x)) = 1 simplify
6/x + 3/x = 1
9/x = 1 and x = 9 ....and this is the number of hours it takes Eliie to complete the job by herself
And 2(9) = 18 hrs......and this is the time that Evan takes to do the job by himself
+129852 Let x be the time that Ellie takes to do the job alone......and Evan takes 2x....so we have
Then, the amount of work that Ellie does in one hour is 1/x .....and the amount that Evan does is 1/(2x)
And ...Rate x Time = Amount of the job done......so......
6(1/x) + 6(1/(2x)) = 1 simplify
6/x + 3/x = 1
9/x = 1 and x = 9 ....and this is the number of hours it takes Eliie to complete the job by herself
And 2(9) = 18 hrs......and this is the time that Evan takes to do the job by himself
