SOLUTION: Together, Carmen and Jay can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 times faster than Jay. Find the time that each person takes to prepare a c
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-> SOLUTION: Together, Carmen and Jay can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 times faster than Jay. Find the time that each person takes to prepare a c
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Question 77967: Together, Carmen and Jay can prepare a catered dinner in 20 hours. Working alone, Carmen can do the job 5 times faster than Jay. Find the time that each person takes to prepare a catered dinner. Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! x(x/5)/x+(x/5)=20
(x^2/5)/[(5x+x)/5]=20
(x^2/5)/(6x/5)=20 cross multiply
(x^2/5)=20(6x/5)
x^2/5=120x/5
x^2-120x=0
x(x-120)=0
x=0
x-120=0
x=120 hours answer. amount of time it takes for Jay alone.
120/5=24 hours for Carman alone.
proof
120*24/(120+24)=20
2880/144=20
20=20
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