SOLUTION: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.      Log On


   

Question 150510This question is from textbook
: gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone. This question is from textbook

Found 2 solutions by christopherbenner, nerdybill:
Answer by christopherbenner(2) About Me  (Show Source):
You can put this solution on YOUR website!
186.666 minutes or 3 hours and 6.666 minutes

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
gian and arwin can finish a project in 4 2/3 hours. gian can do it alone in half as much time as arwin can do the job. How long will it take Arwin to do the job alone.
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Let G = time it takes gian to do the the job alone
and A = time it takes arwin to do the the job alone
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Since you have two unknowns, you'll need to find two equations.
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G+A = 4 2/3 (or 4.667 hours) (equation 1)
G = (1/2)A (equation 2)
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Use the definition of G (from equation 2) and substitute it into equation 1 to find G:
G+A = 4.667
(1/2)A+A = 4.667
Multiply both sides by 2 to rid ourselves of all denominators:
A + 2A = 9.334
3A = 9.334
A = 3.11 hours (time it take arwin to do the job alone)
Or, 3 hours 7 mins
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G = (1/2)A = 1.56 hours (time it takes gian to do the job alone)
Or 1 hour 34 mins