SOLUTION: Section 7.7 Applications using rational equations and proportions.
Problem #16) A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours. How long will it t
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: Section 7.7 Applications using rational equations and proportions.
Problem #16) A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours. How long will it take using both pipes to fill the pool.
This question is from textbook Intro & Inter Algebra
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A pool can be filled by one pipe in 3 hours and by a second pipe in 6 hours.
How long will it take using both pipes to fill the pool.
:
Let t = time required when both pipes are used
:
Let the completed job (full pool) = 1
:
Each pipe fills a fraction of the pool, the two fractions add up to 1
+ = 1
Multiply equation by 6 to get rid of the denominators,
6* + 6* = 6(1)
cancel the denominators and you have:
2t + t = 6
:
3t = 6
t =
t = 2 hrs working together
;
:
Check solution:
2/3 + 2/6 = 1
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