Asked by John
Two pipes that are open at the same time can
fill a pool in 12 hours. When only Pipe A is open, it
can fill the pool 7 hours longer than when only Pipe
B is open. Find how long Pipe A can fill the pool
when it is the only pipe open?
fill a pool in 12 hours. When only Pipe A is open, it
can fill the pool 7 hours longer than when only Pipe
B is open. Find how long Pipe A can fill the pool
when it is the only pipe open?
Answers
Answered by
Scott
(1 / A) + (1 / B) = 1 / 12
(1 / A) + [1 / (A - 7)] = 1 / 12
12 A - 84 + 12 A = A * (A - 7)
24 A - 84 = A² - 7 A
0 = A² - 31 A + 84
factor the quadratic to find A
(1 / A) + [1 / (A - 7)] = 1 / 12
12 A - 84 + 12 A = A * (A - 7)
24 A - 84 = A² - 7 A
0 = A² - 31 A + 84
factor the quadratic to find A
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