When speed walking, Jason takes 12 steps every 8 seconds. At that rate, how many steps will he take in 1,1/3 minutes?
Jason will take 120 steps in 1,1/3 minutes.
To find the total number of steps Jason takes in 1,1/3 minutes, we first convert the time into seconds. One minute is 60 seconds, so 1,1/3 minutes equals 80 seconds. With his pace of 12 steps every 8 seconds, we can calculate the total steps he takes in that time.
To arrive at 100 steps, one would need an incorrect multiplication of Jason's speed or an erroneous conversion of time. If we incorrectly assume he walks for a shorter duration or miscalculate the steps per second, we could mistakenly arrive at 100. However, this does not align with the correct calculations based on his actual step rate.
Choosing 116 steps indicates a miscalculation in the total time or the steps per second. If one were to incorrectly estimate the total number of steps based on a fraction of the correct time or steps, this could lead to the conclusion of 116 steps, which does not accurately represent the situation.
This option is incorrect because the calculation shows that in 80 seconds, Jason actually takes more steps, specifically 120, based on the ratio of steps to time. This value is derived from accurately applying his steps per 8 seconds to the total time he walks.
To arrive at 124 steps would indicate an overestimation of Jason's speed or a miscalculation of the time conversion. This choice suggests a misunderstanding of the rate at which he takes steps, leading to an inflated count that does not correspond to the given data.
The calculations reveal that Jason takes 120 steps in 1,1/3 minutes, or 80 seconds, confirming that his step rate is consistent throughout. The other options misinterpret either the time or the step rate, underscoring the importance of accurate mathematical conversions and calculations in determining total steps.
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