SOLUTION: 3. The time t required to empty a tank varies inversely as the rate r of pumping. A pump can empty a tank in 40 minutes at the rate of 650 kL/min. How long will it take the pump

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Question 574610: 3. The time t required to empty a tank varies inversely as the rate r of pumping. A pump can empty a tank in 40 minutes at the rate of 650 kL/min. How long will it take the pump to empty the same tank at the rate of 1250 kL/min?
b. Write an equation using only one variable that could be used to solve for the constant of variation k based on the data provided.
c. Solve for the constant k.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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he time t required to empty a tank varies inversely as the rate r of pumping.
A pump can empty a tank in 40 minutes at the rate of 650 kL/min.
How long will it take the pump to empty the same tank at the rate of 1250 kL/min?
:
An inverse ratio equation
Let t = time at 1250 kl/min
:
t%2F40 = 650%2F1250
Cross multiply
1250t = 40*650
t = 26000%2F1250
t = 20.8 min at 1250 kl/min
:
b. Write an equation using only one variable that could be used to solve for the constant of variation k based on the data provided.
40 = k%2F650
:
c. Solve for the constant k.
k = 650*40
k = 26000