Math

QuestionConvert 14. 8 kmmin\frac{8 \mathrm{~km}}{\min } to miles per hour: mih\frac{\mathrm{mi}}{\mathrm{h}}.

Studdy Solution

STEP 1

Assumptions1. We are given a speed of8 km/min and we need to convert it to miles per hour. . We know that1 km is approximately equal to0.621371 miles.
3. We also know that1 hour is equal to60 minutes.

STEP 2

First, we need to convert kilometers to miles. We can do this by multiplying the speed in kilometers by the conversion factor.
Speedinmiles=SpeedinkilometerstimesConversionfactorSpeed\, in\, miles = Speed\, in\, kilometers \\times Conversion\, factor

STEP 3

Now, plug in the given values for the speed in kilometers and the conversion factor to calculate the speed in miles.
Speedinmiles=8km/mintimes0.621371mi/kmSpeed\, in\, miles =8\, km/min \\times0.621371\, mi/km

STEP 4

Calculate the speed in miles per minute.
Speedinmiles=8km/mintimes0.621371mi/km=4.970968mi/minSpeed\, in\, miles =8\, km/min \\times0.621371\, mi/km =4.970968\, mi/min

STEP 5

Now, we need to convert minutes to hours. We can do this by multiplying the speed in miles per minute by the number of minutes in an hour.
Speedinmilesperhour=SpeedinmilesperminutetimesNumberofminutesinanhourSpeed\, in\, miles\, per\, hour = Speed\, in\, miles\, per\, minute \\times Number\, of\, minutes\, in\, an\, hour

STEP 6

Plug in the values for the speed in miles per minute and the number of minutes in an hour to calculate the speed in miles per hour.
Speedinmilesperhour=4.970968mi/mintimes60min/hSpeed\, in\, miles\, per\, hour =4.970968\, mi/min \\times60\, min/h

STEP 7

Calculate the speed in miles per hour.
Speedinmilesperhour=4.970968mi/mintimes60min/h=298.25808mi/hSpeed\, in\, miles\, per\, hour =4.970968\, mi/min \\times60\, min/h =298.25808\, mi/hSo, kmmin\frac{\, km}{min} is approximately equal to 298.25808mih\frac{298.25808\, mi}{h}.

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