Math

QuestionIf you and two friends run the New York City Marathon (42 km42 \mathrm{~km}), how many meters will you all run together?

Studdy Solution

STEP 1

Assumptions1. The distance of the New York City Marathon is42 km. You and two friends, a total of three people, are running the marathon3. Each person runs the entire marathon4. The conversion from kilometers to meters is1 km =1000 m

STEP 2

First, we need to convert the distance of the marathon from kilometers to meters. We can do this by multiplying the distance in kilometers by the conversion factor of1 km =1000 m.
Distanceinmeters=DistanceinkilometerstimesConversionfactorDistance\, in\, meters = Distance\, in\, kilometers \\times Conversion\, factor

STEP 3

Now, plug in the given value for the distance in kilometers and the conversion factor to calculate the distance in meters.
Distanceinmeters=42kmtimes1000m/kmDistance\, in\, meters =42\, km \\times1000\, m/km

STEP 4

Calculate the distance of the marathon in meters.
Distanceinmeters=42kmtimes1000m/km=42000mDistance\, in\, meters =42\, km \\times1000\, m/km =42000\, m

STEP 5

Now that we have the distance of the marathon in meters, we can find the total distance run by you and your two friends. This can be found by multiplying the distance of the marathon by the number of people running it.
Totaldistance=DistanceinmeterstimesNumberofpeopleTotal\, distance = Distance\, in\, meters \\times Number\, of\, people

STEP 6

Plug in the values for the distance in meters and the number of people to calculate the total distance.
Totaldistance=42000mtimes3Total\, distance =42000\, m \\times3

STEP 7

Calculate the total distance run by you and your two friends.
Totaldistance=42000mtimes3=126000mTotal\, distance =42000\, m \\times3 =126000\, mYou and your two friends will run a total of126,000 meters.

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