QuestionKai rides his bike $1850 \mathrm{~m}$ in $30 \mathrm{~min}$ . Find his average speed in km/h.

Studdy Solution

STEP 1

Assumptions1. The distance travelled by Kai is1850 meters. . The time taken to travel this distance is30 minutes.
3. We need to find the average speed in km/hour.

STEP 2

First, we need to convert the distance from meters to kilometers because the required speed is in km/hour. We know that1 kilometer is equal to1000 meters.
$Distance\, in\, kilometers = Distance\, in\, meters /1000$

STEP 3

Now, plug in the given value for the distance in meters to calculate the distance in kilometers.
$Distance\, in\, kilometers =1850 /1000$

STEP 4

Calculate the distance in kilometers.
$Distance\, in\, kilometers =1850 /1000 =1.85\, km$

STEP 5

Next, we need to convert the time from minutes to hours because the required speed is in km/hour. We know that1 hour is equal to60 minutes.
$Time\, in\, hours = Time\, in\, minutes /60$

STEP 6

Now, plug in the given value for the time in minutes to calculate the time in hours.
$Time\, in\, hours =30 /60$

STEP 7

Calculate the time in hours.
$Time\, in\, hours =30 /60 =0.5\, hours$

STEP 8

Now that we have the distance in kilometers and the time in hours, we can calculate the average speed. The average speed is the total distance travelled divided by the total time taken.
$Average\, speed = Distance\, in\, kilometers / Time\, in\, hours$

STEP 9

Plug in the values for the distance in kilometers and the time in hours to calculate the average speed.
$Average\, speed =.85 /.5$

STEP 10

Calculate the average speed.
$Average\, speed =.85 /0.5 =3.7\, km/hour$ Kai's average speed is3.7 km/hour.

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