SOLUTION: Ann can type a manuscript in 10hours,Florence can type This manuscript in 5 hours.how long can it take them if they type This manuscript together?

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Question 1078804: Ann can type a manuscript in 10hours,Florence can type
This manuscript in 5 hours.how long can it take them if they type
This manuscript together?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let t be the time it takes to type the manuscript if Ann and Florence work together, then
:
(1/10) + (1/5) = (1/t)
:
(1/10) + (2/10) = (1/t)
:
3/10 = 1/t
:
cross multiply the fractions
:
3t = 10
:
t = 10/3 = 3.33333333 approximately 3.3 hours
:
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working togehter it takes 3.3 hours
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