4
algebra

A boat travels upstream at 10 mph and downstream at 20 mph. If the round trip takes 3 hours, how far did it travel upstream?

A

30

B

15

C

20

D

10

Correct Answer: C

Choice Bhoice D is the correct answer.

  1. Define: Distance = dd. Time up + Time down = 3.
  2. Equation: d10+d20=3\frac{d}{10} + \frac{d}{20} = 3
  3. Multiply by 20: 2d+d=602d + d = 60
  4. Combine: 3d=603d = 60
  5. Divide by 3: d=20d = 20
  6. Verify: 20/10+20/20=2+1=320/10 + 20/20 = 2 + 1 = 3

Choice Bhoice A is incorrect because calculation error.

Choice Bhoice D is incorrect because calculation error.

Choice Bhoice C is incorrect because calculation error.