3
algebra

A tank has 500 liters. It is filled at 20 L/min. A second tank has 200 liters and is filled at 30 L/min. When will they have the same amount?

A

3030 minutes

B

2020 minutes

C

1010 minutes

D

4040 minutes

Correct Answer: A

Choice A is the correct answer. Set expressions equal.

  1. Tank 1: 500+20t500 + 20t.
  2. Tank 2: 200+30t200 + 30t.
  3. Equate: 500+20t=200+30t500 + 20t = 200 + 30t.
  4. Solve: Subtract 20t→500=200+10t20t \rightarrow 500 = 200 + 10t. Subtract 200→300=10t200 \rightarrow 300 = 10t. Divide by 10 →t=30\rightarrow t = 30.

💡 Strategic Tip: The faster rate (30) catches up to the head start (500).

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 97