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Compare the rates to find which is greater.
21 laps in 12 seconds or 14 laps in 10 seconds 10 seconds.
(Type whole numbers or decimals.).

Compare the rates to find which is greater.\newline2121 laps in 1212 seconds or 1414 laps in 1010 seconds 1010 seconds.\newline(Type whole numbers or decimals.).

Full solution

Q. Compare the rates to find which is greater.\newline2121 laps in 1212 seconds or 1414 laps in 1010 seconds 1010 seconds.\newline(Type whole numbers or decimals.).
  1. Calculate Rate for First Scenario: Calculate the rate of laps per second for the first scenario.\newlineTo find the rate, divide the number of laps by the number of seconds.\newlineRate for 2121 laps in 1212 seconds = 21 laps12 seconds=1.75\frac{21 \text{ laps}}{12 \text{ seconds}} = 1.75 laps per second.
  2. Calculate Rate for Second Scenario: Calculate the rate of laps per second for the second scenario.\newlineRate for 1414 laps in 1010 seconds = 14 laps10 seconds=1.4\frac{14 \text{ laps}}{10 \text{ seconds}} = 1.4 laps per second.
  3. Compare Rates: Compare the two rates to determine which is greater.\newlineFrom Step 11, we have 1.751.75 laps per second, and from Step 22, we have 1.41.4 laps per second.\newlineSince 1.751.75 is greater than 1.41.4, the rate of 2121 laps in 1212 seconds is greater than the rate of 1414 laps in 1010 seconds.

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