Set 10: Linear Functions (Advanced)

Explanation

Answer: A

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?

$30$ minutes

✓ Correct

$20$ minutes

$10$ minutes

$40$ minutes

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set expressions equal. 1. Tank 1: $500+ 20 t$ . 2. Tank 2: $200+ 30 t$ . 3. Equate: $500+ 20 t = 200 + 30 t$ . 4. Solve: Subtract $20t \rightarrow 500 = 200 + 10 t$ . Subtract $200\rightarrow 300 = 10 t$ . Divide by 10 $\rightarrow t = 30$ . 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.

Key Steps:

•

The correct answer is $30$ minutes

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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