SOLUTION: Evan, John, and Mark are on the same Learning Team. If each worked on the team assignments alone, it would take Evan 10 hours, John 8 hours, and Mark 12 hours to finish the assign
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Question 559461: Evan, John, and Mark are on the same Learning Team. If each worked on the team assignments alone, it would take Evan 10 hours, John 8 hours, and Mark 12 hours to finish the assignments. They usually started the same time on Monday night after work. Last week, Evan started early and he worked 2 hours on the assignments when John and Mark began. All three finished the team assignments. How long did they take to finish by working together? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Evan, John, and Mark are on the same Learning Team.
If each worked on the team assignments alone, it would take Evan 10 hours, John 8 hours, and Mark 12 hours to finish the assignments.
They usually started the same time on Monday night after work.
Last week, Evan started early and he worked 2 hours on the assignments when John and Mark began.
All three finished the team assignments. How long did they take to finish by working together?
:
Let t = time spent working together
then
(t+2) = time that Evan worked
:
Let the completed job = 1
:
A shared work equation + + = 1
Multiply by 120, to clear the denominators
120* + 120* + 120* = 120(1)
Cancel the denominators, results
12(t+2) + 15t + 10t = 120
:
12t + 24 + 15t + 10t = 120
37t = 120 - 24
37t = 96
t =
t = 2.6 hrs working together
;
;
Check this in the shared work equation, Evan worked 4.6 hrs + + =
.46 + .325 + .217 = 1.00; confirms our solution of t=2.6
