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A can run a race in 50 seconds, while B can run it in 70 seconds. What is the ra

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Question: A can run a race in 50 seconds, while B can run it in 70 seconds. What is the ratio of their times?

Options:

  1. 5:7
  2. 7:5
  3. 10:14
  4. 14:10

Correct Answer: 5:7

Solution: 

Ratio of times = 50:70 = 5:7.

A can run a race in 50 seconds, while B can run it in 70 seconds. What is the ra

Practice Questions

Q1
A can run a race in 50 seconds, while B can run it in 70 seconds. What is the ratio of their times?
  1. 5:7
  2. 7:5
  3. 10:14
  4. 14:10

Questions & Step-by-Step Solutions

A can run a race in 50 seconds, while B can run it in 70 seconds. What is the ratio of their times?
  • Step 1: Identify the time taken by A to run the race, which is 50 seconds.
  • Step 2: Identify the time taken by B to run the race, which is 70 seconds.
  • Step 3: Write the times in ratio form, which is 50:70.
  • Step 4: Simplify the ratio by dividing both numbers by their greatest common divisor (GCD).
  • Step 5: The GCD of 50 and 70 is 10. Divide both 50 and 70 by 10.
  • Step 6: After dividing, you get 5:7 as the simplified ratio.
  • Ratio Calculation – Understanding how to express the relationship between two quantities as a ratio.
  • Simplification of Ratios – The process of reducing a ratio to its simplest form.
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