SOLUTION: The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pum

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pum      Log On


   

Question 92093: The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min?
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min?
t varies inversely with r, so t=k%2Fr
We need to find k. Let t=45 and r=600
45=k%2F600
45%28600%29=600%28k%2F600%29
27000=k
So our formula therefore is: t=27000%2Fr
If r=1000 kL/min then:
t=27000%2F1000min
t=27 min
Happy Calculating!!!