<PRE><B>Question 574610</B>
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/40}}} = {{{650/1250}}}
Cross multiply
1250t = 40*650
t = {{{26000/1250}}}
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/650}}}
:
c. Solve for the constant k.
k = 650*40
k = 26000</PRE>