QuestionHow far will Ted run in 285 minutes if he runs $20 \mathrm{~km}$ in 95 minutes? Find $k$ .

Studdy Solution

STEP 1

Assumptions1. Ted runs at a constant pace. . He runs20 km in95 minutes.
3. He wants to know how far he will run in285 minutes.

STEP 2

First, we need to find Ted's speed in km per minute. We can do this by dividing the distance he runs by the time it takes him.
$Speed = \frac{Distance}{Time}$

STEP 3

Now, plug in the given values for the distance and time to calculate the speed.
$Speed = \frac{20\, km}{95\, minutes}$

STEP 4

Calculate the speed.
$Speed = \frac{20\, km}{95\, minutes} \approx0.210\, km/minute$

STEP 5

Now that we have the speed, we can find out how far Ted will run in285 minutes. We can do this by multiplying the speed by the time.
$Distance = Speed \times Time$

STEP 6

Plug in the values for the speed and the time to calculate the distance.
$Distance =0.2105\, km/minute \times285\, minutes$

STEP 7

Calculate the distance.
$Distance =0.2105\, km/minute \times285\, minutes \approx60\, km$ Ted will run approximately60 kilometers in285 minutes.

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