SOLUTION: Ken can cut and split a cord of wood twice as fast as brent. When they work together, it takes them four hours. How long would it take each of them working alone to do the job?

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Question 365770: Ken can cut and split a cord of wood twice as fast as brent. When they work together, it takes them four hours. How long would it take each of them working alone to do the job?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
b = 2k, and 4%281%2Fk+%2B+1%2Fb%29+=+1. By direct substitution,
4%281%2Fk+%2B+1%2F%282k%29%29+=+1,
4%2Fk+%2B+2%2Fk+=+1, after distribution.
6%2Fk+=+1,
k = 6. Ken can finish the work in 6 hours. Brent can finish the work in 12 hours.