QuestionNick runs 4,000 meters in 3 minutes. How many kilometers can he run in 10 minutes?

Studdy Solution

STEP 1

Assumptions1. Nick can run4,000 meters in3 minutes. . We need to find out how many kilometers Nick can run in10 minutes.
3. The speed at which Nick runs is constant. 4.1 kilometer is equal to1,000 meters.

STEP 2

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

STEP 3

Now, plug in the given values for the distance and time to calculate Nick's speed.
$Speed = \frac{,000\, meters}{3\, minutes}$

STEP 4

Calculate Nick's speed.
$Speed = \frac{4,000\, meters}{3\, minutes} =1,333.33\, meters/minute$

STEP 5

Now that we have Nick's speed, we can find out how many meters he can run in10 minutes. We can do this by multiplying his speed by the time.
$Distance = Speed \\times Time$

STEP 6

Plug in the values for the speed and the time to calculate the distance.
$Distance =1,333.33\, meters/minute \\times10\, minutes$

STEP 7

Calculate the distance Nick can run in10 minutes.
$Distance =1,333.33\, meters/minute \\times10\, minutes =13,333.33\, meters$

STEP 8

Now that we have the distance Nick can run in10 minutes in meters, we can convert this to kilometers. We can do this by dividing the distance in meters by1,000.
$Distance = \frac{Distance\, in\, meters}{1,000}$

STEP 9

Plug in the value for the distance in meters to calculate the distance in kilometers.
$Distance = \frac{13,333.33\, meters}{,000}$

STEP 10

Calculate the distance Nick can run in10 minutes in kilometers.
$Distance = \frac{13,333.33\, meters}{,000} =13.33\, kilometers$ Nick can run13.33 kilometers in10 minutes.

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