pipe A can fill a tank alone in x hours.
suppose pipe B alone takes 5 hours less than pipe A to fill tank.
a)~find the proportion of the capacity of water that pipe A can fill in 1 hour.
b)~find the proportion of the capacity of water that pipe B can fill in 1 hour
suppose tank can be filled by both pipes together in 6 hours.using result in (a and b),find the time required for each pipe to fill the tank alone.
math problem math problem
2012-07-06 2:04 am
回答 (2)
2012-07-06 5:36 am
✔ 最佳答案
(a) The proportion of the capacity of water that pipe A can fill in 1 hour= 1/x
(b) The proportion of the capacity of water that pipe B can fill in 1 hour
= 1/(x - 5)
(c) 6[1/x + 1/(x - 5)] = 1
6(x - 5) + 6x = x(x - 5)
12x - 30 = x^2 - 5x
x^2 - 17x + 30 = 0
(x - 15)(x - 2) = 0
x = 2 (rejected) or 15
So, pipe A needs 15 hours to fill the tank while pipe B only needs 10 hours.
2012-07-06 4:05 am
What does "find the proportion of the capacity of water" mean?
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