SOLUTION: A pipe is draining water from a tank. After 5 minutes there are 300 gallons of water in the tank. After 10 minutes there are 260 gallons of water in the tank. How long will it take

Question 924628: A pipe is draining water from a tank. After 5 minutes there are 300 gallons of water in the tank. After 10 minutes there are 260 gallons of water in the tank. How long will it take for the tank to be empty?
Found 2 solutions by TimothyLamb, lwsshak3:
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
time differential between the first and second measurement:
dt = 10 - 5 = 5 minutes
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volume differential between the first and second measurement:
dv = 260 - 300 = -40 gallons
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drain rate:
r = dv/dt
r = -(-40)/5 = 8 gal/min
---
at the first measurement the drain had been open 5 minutes ...
how much water was drained in that time?
r = v/t
v = rt
v = 8*5
v = 40
---
the tank's initial water volume was: 300 + 40 = 340
---
time to empty the tank:
r = v/t
t = v/r
t = 340/8
t = 42.5 minutes
---
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Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A pipe is draining water from a tank. After 5 minutes there are 300 gallons of water in the tank. After 10 minutes there are 260 gallons of water in the tank. How long will it take for the tank to be empty?
***
After 5 min,300-260=40 gallons of water was drained from the tank.
Therefore, with 260 gallons in the tank, at a rate of 40 gal/5min,
the tank will empty after (260/40)*5=32.5 minutes
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