Math

QuestionNick runs 4,000 meters in 3 minutes. What is his speed in KPH?

Studdy Solution

STEP 1

Assumptions1. Nick runs4,000 meters in3 minutes. . We want to convert this speed to kilometers per hour (KPH).
3. There are1,000 meters in a kilometer.
4. There are60 minutes in an hour.

STEP 2

First, we need to convert the distance Nick runs from meters to kilometers.
Distanceinkilometers=Distanceinmeters/1,000Distance\, in\, kilometers = Distance\, in\, meters /1,000

STEP 3

Now, plug in the given value for the distance in meters to calculate the distance in kilometers.
Distanceinkilometers=,000/1,000Distance\, in\, kilometers =,000 /1,000

STEP 4

Calculate the distance in kilometers.
Distanceinkilometers=4,000/1,000=4Distance\, in\, kilometers =4,000 /1,000 =4

STEP 5

Next, we need to convert the time Nick runs from minutes to hours.
Timeinhours=Timeinminutes/60Time\, 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.
Timeinhours=3/60Time\, in\, hours =3 /60

STEP 7

Calculate the time in hours.
Timeinhours=3/60=0.05Time\, in\, hours =3 /60 =0.05

STEP 8

Now that we have the distance in kilometers and the time in hours, we can calculate Nick's speed in kilometers per hour (KPH).
SpeedinKPH=Distanceinkilometers/TimeinhoursSpeed\, in\, KPH = 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 speed in KPH.
SpeedinKPH=4/.05Speed\, in\, KPH =4 /.05

STEP 10

Calculate the speed in KPH.
SpeedinKPH=4/0.05=80Speed\, in\, KPH =4 /0.05 =80Nick is running at a speed of80 KPH.

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