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Proportions: rates and map scales

  • ATI TEAS
  • Math: Numbers and Algebra
  • Numeric answer
  • Difficulty 2 of 5

Question

A cyclist rides 8 kilometers in 20 minutes. Riding at the same steady pace, how many kilometers will the cyclist travel in 50 minutes?

20

Typed answer, rounded to a whole number.

Answer

20

Rationale

At a steady pace, distance and time keep a constant ratio. Set 20 minutes : 8 kilometers equal to 50 minutes : x kilometers, then multiply the means and the extremes and divide to solve for x.

Worked solution: Set up 20 : 8 = 50 : x, so x = 8 × 50 ÷ 20 = 20.

RememberConstant speed means a constant distance-to-time ratio, so a proportion finds the missing distance.

Sources

Sources marked “Adapted from” are licensed under CC BY 4.0. We changed the material: its facts are rewritten into an original question, answer options and rationale. The original authors and publishers do not endorse SwipeExam.

  • Adapted from Open RN Nursing Skills, 2nd edition: Chapter 5 Math Calculations Open RN (Chippewa Valley Technical College) · License: CC BY 4.0 · Retrieved · USING DIMENSIONAL ANALYSIS · 2nd edition, 2023
  • Lesson 3: Measures of Risk (Source: CDC) Centers for Disease Control and Prevention (CDC) · License: CDC content (credit required) · Retrieved · Definition of ratio
  • DOE-HDBK-1014/1-92 U.S. Department of Energy · License: US government work (public domain) · Retrieved · Page 127; Page 128; Page 168
  • Arrhythmias Types National Heart, Lung, and Blood Institute (NIH) · License: US government work (public domain) · Retrieved · How do you know if your heart beats too fast or too slow?

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