3

Set 8: Linear Equations (Intermediate)

Explanation

Answer: C

A pool is filled by two pipes. Pipe A takes 10 hours, Pipe B takes 15 hours. How long if both are open?

A.

5

B.

8

C.

6

✓ Correct
D.

12.5

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Equation: 1/10+1/15=1/t1 /10 + 1/15 = 1/t 2. Common Denom (30): 3/30+2/30=5/30=1/63 /30 + 2/30 = 5/30 = 1/6 3. Solve: t=6t = 6 Choice D is incorrect because it results from an error in the solution process. Choice A 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 6

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.

🎯 Keep Practicing!

Master all sections for your best SAT score