QuestionIf Charles runs 100 meters in 23.4 seconds, how long for 400 meters at that speed?

Studdy Solution

STEP 1

Assumptions1. Charles runs the100 meter race in23.4 seconds. Charles can maintain this speed for a longer distance3. The speed is constant, there is no acceleration or deceleration

STEP 2

First, we need to find Charles's speed. Speed is calculated by dividing the distance by the time.
$Speed = \frac{Distance}{Time}$

STEP 3

Now, plug in the given values for the distance and time to calculate the speed.
$Speed = \frac{100\, meters}{23.\, seconds}$

STEP 4

Calculate the speed.
$Speed = \frac{100\, meters}{23.4\, seconds} \approx4.27\, meters/second$

STEP 5

Now that we have the speed, we can find out how long it would take Charles to run a400 meter race. Time is calculated by dividing the distance by the speed.
$Time = \frac{Distance}{Speed}$

STEP 6

Plug in the values for the distance and the speed to calculate the time.
$Time = \frac{400\, meters}{4.27\, meters/second}$

STEP 7

Calculate the time.
$Time = \frac{400\, meters}{4.27\, meters/second} \approx93.7\, seconds$ It would take Charles approximately93.7 seconds to run a400 meter race.

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