Problema Solution
A new copy machine works twice as fast as an old one. Together they can do a job in 16 hours. How long would it take it copy machine to do the same job alone.
new copy machine _____
Old Copy machine _____
Answer provided by our tutors
let
x = the hours the old machine needs to finish the job thus the rate of the old machine is 1/x job per hour
since new copy machine works twice as fast as an old one it will need x/2 hour to finish the job thus will have a rate of 2/x job per hour
Together they can do a job in 16 hours follows the together rate is 1/16 job per hour
1/x + 2/x = 1/16
by solving we find
x = 48 hours
click to see the step by step solution of the equation
48/2 = 24 hours
new copy machine 24 hours
old copy machine 48 hours