SOLUTION: Jayvee can finish typing one letter ahead of Jun by one minute. Together, they can finish 27 letters in 60 minutes. How long does it take Jayvee to finish typing one letter?
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Question 821767: Jayvee can finish typing one letter ahead of Jun by one minute. Together, they can finish 27 letters in 60 minutes. How long does it take Jayvee to finish typing one letter?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jayvee can finish typing one letter ahead of Jun by one minute. Together, they can finish 27 letters in 60 minutes. How long does it take Jayvee to finish typing one letter?
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Jun DATA:
time = x min/let ; rate = 1/x letter/min
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Jayvee DATA:
time = x+1 min/let ; rate = 1/(x+1) let/min
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Together DATA:
time = 60/27 min/let ; rate = 27/60 let/min = 9/20 let/min
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Equation:
rate + rate = together rate
1/x + 1/(x+1) = 9/20
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20(x+1) + 20x = 9x(x+1)
40x + 20 = 9x^2 + 9x
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9x^2 - 31x - 20 = 0
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(x-4)(9x+5)= 0
Positive solution:
x = 4 minutes
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Ans: x+1 = 5 minutes (time for Jayvee to finiah one letter)
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Cheers,
Stan H.
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