Question

Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative.
The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?


into the
tank.
After the 32 minutes, how much oil is in the large tank?
gallons

Answer 1

Step-by-step explanation:

#1)

As per the question, when the flow rate is negative, oil is moving into the small tank.

The large tank started with 600 gallons of oil. The recorded flow rate was - 4 gallons/ min.

That is, In one minute, 4 gallons of oil is moving from the large tank to the small tank.

$\mathsf{oil \: transfered \: in \: 1 \: mi n\: = 4 \: gals}$

$\mathsf{oil \: transfered \: in \: 32 \: mi ns\: = (4 \times 32)\: gals} \\ = \mathsf{128 \: gals}$

Therefore, after 32 mins 128 gals of oil has flown into the small tank.

#2)

After 32 mins, the large tank lost 128 gallons of oil.

The remaining oil in the large tank = 600 - 128

= 472 gallons