SOLUTION: If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other. How many hours will it take the faster person to complete 1 job.

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Question 701342: If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other. How many hours will it take the faster person to complete 1 job.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other.
:
let x = time for the fast person to complete the job (alone)
then
1.5x = time required by the other person alone
:
Let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1
4%2Fx + 4%2F%281.5x%29 = 1
multiply by 3x to get rid of the denominators, resulting in:
3(4) + 2(4) = 3x
12 + 8 = 3x
20 = 3x
x = 20/3
x = 62%2F3 hrs for the fast guy alone
:
;
Check this with a calc
4%2F6.67 + 4%2F%281.5%2A6.67%29 = .9995 ~ 1 confirms our solution