30. Two pipes running together can fill a tank in 11 minutes. If one pipe takes 5 minutes more than the
other to fill the tanki separately, find the time in which cach pipe would fill the tank separately.
Answers
Question:
Two pipes running together can fill a tank in 11 minutes. If one pipe takes 5 minutes more than the
Two pipes running together can fill a tank in 11 minutes. If one pipe takes 5 minutes more than theother to fill the tanki separately, find the time in which cach pipe would fill the tank separately.
Solution:
T= time
Pipe 1 flow rate/min = 1/T (lit/min)
pipe 2 flow rate (lit/min) = t/(t+5)lit/min
flow rate of both pipes ( together ) lit/min
[1/(T)+1/(T+5)] lit per minute (in 1 minute )
T+5+t/t(t+5) = (2t+5)/t(t+5) lit/min
11(2t+5) = t^2 + 5t
22t + 55 = t^2 + 5t
t^2 - 17 t - 55
t = -b + √ b^2 - 4a / 52a
t = 17 + √(.17)^2-4×1×(-55)/2×1
T= 17 + √289+220/2
T = 17 + 22.56/25
T= 39.56/2
T = 19.78
pipe 1 = 19.78
pipe 2 = 19.78 + 5
= 24.78
:)
Answer:
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Step-by-step explanation:
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