SOLUTION: One person can load a truck in 25 minutes, a second can load it in 50 minutes, and a third can load it in 10 minutes. how long will it take the three together to load the truck?

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Question 465868: One person can load a truck in 25 minutes, a second can load it in 50 minutes, and a third can load it in 10 minutes. how long will it take the three together to load the truck?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One person can load a truck in 25 minutes, a second can load it in 50 minutes,
and a third can load it in 10 minutes.
how long will it take the three together to load the truck?
:
Let t = time required if all three are loading
Let the completed job = 1; (a full truck)
:
Write a typical shared work equation
t%2F25 + t%2F50 + t%2F10 = 1
multiply by 50, to clear the denominators, results:
2t + t + 5t = 50
8t = 50
t = 50%2F8
t = 6.25 min working together
;
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