2

Set 1: Linear Equations (Advanced)

Explanation

Answer: C

A boat goes 20 km downstream in 2 hours and 20 km upstream in 5 hours. What is the speed of the current?

A.

7

B.

4

C.

3

✓ Correct
D.

2

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Speeds: Down = 20/2=1020 /2 = 10, Up = 20/5=420 /5 = 4. 2. Equations: b+c=10b + c = 10, bc=4b - c = 4. 3. Subtract: 2c=6c=32c = 6 \rightarrow c = 3. Choice A is incorrect because this is the boat speed. Choice B is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 3

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B 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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