Machines X and Y run at different constant rates, and machine X can complete a certain job in 9 hours. Machine X worked on the job alone for the first 3 hours and the two machine working together, then completed the job in 4 more hours. How many hours would it have taken machine Y, working alone, to complete the entire job?



18

13~$\frac{1}{2}$~

7~$\frac{1}{5}$~

4~$\frac{1}{2}$~

3~$\frac{2}{3}$~

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