SOLUTION: Bill attaches one bundle of shingles in an average of x minutes using a hammer, whereas Julio attaches one bundle in 6 min less time using a pneumatic stapler. a)Write a rationa

Question 183958: Bill attaches one bundle of shingles in an average of x minutes using a hammer, whereas Julio attaches one bundle in 6 min less time using a pneumatic stapler.
a)Write a rational function B(x) that gives the number of bundles that they attached while working together for 10 hours.
b) Find B(30)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bill attaches one bundle of shingles in an average of x minutes using a hammer, whereas Julio attaches one bundle in 6 min less time using a pneumatic stapler
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Bill DATA:
time = x minutes/job ; rate = 1/x job/min
---------------------------------------------
Julio DATA:
time = x-6 minutes/job ; rate = 1/(x-6) job/min
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a)Write a rational function B(x) that gives the number of bundles that they attached while working together for 10 hours.
Equation:
# = time*rate
B(x) = 10(rate + rate)
B(x) = 10(1/x + 1/(x-6))
B(x) = 10(2x-6)/(x^2-6x)
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b) Find B(30) = 10(60-6)/(900-180) = 10*54/720 = 0.75 or 3/4
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Cheers,
Stan H.
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