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2015 Math Kangaroo

Problem 6

Problem 6 · 2015 Math Kangaroo Easy
Ratios, Rates & Proportions work-backward

The drive from A-village to B-town via C-house takes 130 minutes. The drive from A-village to C-house takes 35 minutes. How many minutes does a drive from C-house to B-town take?

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Answer: A — 95
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Hint 1 of 2
The whole trip splits into the first leg plus the part you want.
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Hint 2 of 2
Subtract the A-to-C time from the total A-to-B time.
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Approach: subtract the known leg from the total
  1. The full drive A to B via C takes 130 minutes.
  2. The first leg A to C takes 35 minutes.
  3. So the remaining leg C to B takes 130 - 35 = 95 minutes.
  4. The answer is 95 (A).
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