Answer:
Brent will take 12 hours to do the work alone
Kent will take 6 hours to do the work alone
Step-by-step explanation:
We can use the formula
W = RT
to solve this.
W is Work Done
R is the Rate at which it is done
T is the Time taken
Now, let Brent's rate be x
and since Kent can to it TWICE as fast, we can say Kent's rate is 2x
Now, to cut and split a cord (let that be "1" unit of work, W = 1 ), together they take 4 hours. So we can write:
W = RT
1 = (x + 2x)(4)
Now, we solve this for x:
This means that 1/12th of work is done in 1 hour, so it will take him "12" hours to do full work alone.
This is Brent.
Kent is TWICE as fast, so he will take HALF THE TIME, that is 6 hours to do the work alone.
Brent will take 12 hours to do the work alone
Kent will take 6 hours to do the work alone