Julie and Pat can finish typing the manuscript together in 2 hours and 24 minutes, completing the task by 2:24 PM.
Julie can type 1 manuscript in 4 hours, and Pat takes 6 hours. To find how quickly they can type together, calculate the combined work rate per hour: 1/4 + 1/6 = 5/12. This means they can complete 5/12 of the manuscript per hour working together.
To determine the time needed to finish the manuscript, use the combined work rate formula: 1/(5/12) = 12/5 hours. This equals 2 hours and 24 minutes. Therefore, they will complete the manuscript at 2:24 PM.
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