Question

The time t required to empty a water tank varies inversely as the rate of pumping p. A pump can empty a water tank in 40 min at the rate of 120 gal/min. Write the equation of the inverse variation. How long it will take the pump to empty the water tank at the rate of 200 gal/min?

Answer 1

t = 24

Explanation:

Answer 2

the question requires:

the time t required.

the equation of the inverse variation.

how do find t:

first we determine how much the tank holds by multiplying 120 by 40.

the tank holds 4800 gallons.

so now to find t we can use the formula v = d/t where d is the 4800 gallons.

so: t = d/v

t = 24 minutes

now for the equation of the inverse variation.

we can say that the equation is t = d/v since t and v are inversely proportional.

note that v and t stand for velocity and time respectively.

make sure to ask if you need any further guidance!!