SOLUTION: It takes Eugene 11 hours to pick 40 bushels of apples. Jasmine can pick the same amount in 8 hours. How long would it take them if they worked together

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Question 1081754: It takes Eugene 11 hours to pick 40 bushels of apples. Jasmine can pick the same amount in 8 hours. How long would it take them if they worked together
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
in 1 hour E. picks 40/11 bushels and Jasmine picks 5.
in x hours (40x/11)+5x=50
(95/11)x=50
multiply by 11
95x=550
x=5.79 hours

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

It takes Eugene 11 hours to pick 40 bushels of apples. Jasmine can pick the same amount in 8 hours. How long would it take them if they worked together 
It's the SAME JOB each is doing, so 40 bushels is considered A JOB, or 1 JOB

Eugene does 1%2F11 of the job in 1 hour, and Jasmine does 1%2F8 of the job in 1 hour

Let time both take, working together, be T

Therefore, we get: 1%2F11+%2B+1%2F8+=+1%2FT

8T + 11T = 88

19T = 88

T, or time both take = highlight_green%28matrix%281%2C4%2C+88%2F19%2C+or%2C+4%2612%2F19%2C+hours%29%29