The first pipe passes 5 liters of water per minute less than the second pipe how many liters of water per minute the first pipe passes if it fills a tank with a volume of 200 liters 2 minutes longer than the second pipe.

Kathryn Sanchez 2022-09-13 Answered
The first pipe passes 5 liters of water per minute less than the second pipe how many liters of water per minute the first pipe passes if it fills a tank with a volume of 200 liters 2 minutes longer than the second pipe.
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Answers (1)

wegpluktee3
Answered 2022-09-14 Author has 12 answers
1st pipe flows x (l\min)
2nd pipe passes (x + 5) l \ min
Tank filling time with 1st pipe = (200/x) min
Filling time with 2nd pipe = ( 200/(x +5) min
Let's make an equation:
200/x - 200/(x+5) = 2
200 ( x + 5 ) 200 x = 2 ( x 2 + 5 x )
200 x + 1000 200 x = 2 x 2 + 10 x
2 x 2 + 10 x = 1000
x 2 + 5 x = 500
x 2 + 5 x 500 = 0
D = 25 -4 (-500) = 25 + 2000 = 2025; YD=45
x1 =(-5 +45) /2 = 20
x2 = (-5 -45)/2 = -25 (not suitable for the task)
Answer: 20 liters of water per minute passes through the 1st pipe.

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