SOLUTION: julie can type a manuscript in 4 hours. pat takes 6 hours to type the same manuscript. if julie and pat begin working at noon, at what time will they complete the typing? answers;

Question 468940: julie can type a manuscript in 4 hours. pat takes 6 hours to type the same manuscript. if julie and pat begin working at noon, at what time will they complete the typing? answers; 2:24,2:30, 2:40, 3:00, and 3:30
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
julie can type a manuscript in 4 hours. pat takes 6 hours to type the same manuscript. if julie and pat begin working at noon, at what time will they complete the typing? answers; 2:24,2:30, 2:40, 3:00, and 3:30
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Julie time = 4 hrs/job ; rate = 1/4 job/hr
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Pat time = 6 hrs/job ; rate = 1/6 job/hr
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Together time = x hrs/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/4 + 1/6 = 1/x
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Multiply thru by 12x to get:
3x + 2x = 12
5x = 12
x = 12/5 = 2.8 hrs = 2 hr 48 minutes (together time)
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Finish time 2:48 PM
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