in flow rate Q1 = 1 tank / 30 seconds
out flow rate = Q2
Q2 - Q1 = 1 tank/6 seconds
Q2 - 1/30 = 1/6
Q2 = 5/30 + 1/30 = 6/30 = 1/5 = 1 tank/5 seconds
let the tank hold 1 unit of volume
let the rate of water flowing in be y units/sec
let the water flowing out be x units / sec
When drain is open (water going in and out at the same time)
6(x-y) = 1
x - y = 1/6
drain closed: 30y = 1
y = 1/30
plug back into x-y = 1/6
x - (1/30) = 1/6
x = 1/5
only drain open:
t(1/5) = 1
t = 5 sec
With the drain only,
it would take 5 seconds to empty the tank
Answer this Question
college algebra - an inlet pipe can fill a large water tank in 3 hours. an ...
math - A 500-litre water storage tank is situated at the top of a building at a ...
Fluid Mechanics - Water flows into a cylindrical tank through pipe 1 at a rate ...
physics - A large water tank has an inlet pipe and an outlet pipe. The inlet ...
Physics - A large water tank has an inlet pipe and an outlet pipe. The inlet ...
math - Water flows through a pipe with the inner diameter of 20cm at a speed of ...
maths - Water is flowing at the rate of 15km/hr through a cylindrical pipe of ...
math - Water is flowing at the rate of 15km/hr. Through a cylindrical pipe of ...
math, physics - A 10 m high, 5 diameter cylindrical water tank has an inlet at ...
maths - a hemispherical tank full of water is emptied by a pipe at the rate of ...