
How do you convert 42 miles per hour to miles per minute?
Answer
543.6k+ views
Hint: In this question, we have to convert the given speed in miles per hour to miles per minute. We will divide the given speed by 60 to convert it into miles per minute as there are 60 minutes in 1 hour. The value obtained is the desired result.
Complete step by step answer:
We know that speed is the distance covered per unit times. We measure distance in meters. Kilometers (km), miles, etc. We measure time second, minutes, hour, etc. Then the unit of the speed becomes meter per second (m/s), kilometer per hour (km/h), and miles per hour (mph).
Let us convert 1 mile per hour to miles per minute first.
We know that 1 hour is 60 minutes. So, we have,
$ \Rightarrow $ 1 mile per hour = $\dfrac{1}{{60}}$ mile per minute
Now multiply both sides by 42,
$ \Rightarrow $ $42 \times 1$ miles per hour = $42 \times \dfrac{1}{{60}}$ miles per minute
Multiply the terms,
$ \Rightarrow $ 42 miles per hour = $\dfrac{{42}}{{60}}$ miles per minute
Divide numerator by denominator on the right side,
$ \Rightarrow $ 42 miles per hour = 0.7 miles per minute
Hence, the conversion of 42 miles per hour is 0.7 miles per minute.
Note: If the problem was given to convert kilometers to meters, there is a standard equation for this type of conversion. To convert a Kilometer per hour into a meter per second, we need to multiply by 5 and then divide it by 18. This standard form got from this $\dfrac{{\dfrac{{1km}}{{1000}}}}{{\dfrac{{1hr}}{{3600}}}}$ fraction which we used in the solution to solve. When we solve this fraction, we will get the above form.
Complete step by step answer:
We know that speed is the distance covered per unit times. We measure distance in meters. Kilometers (km), miles, etc. We measure time second, minutes, hour, etc. Then the unit of the speed becomes meter per second (m/s), kilometer per hour (km/h), and miles per hour (mph).
Let us convert 1 mile per hour to miles per minute first.
We know that 1 hour is 60 minutes. So, we have,
$ \Rightarrow $ 1 mile per hour = $\dfrac{1}{{60}}$ mile per minute
Now multiply both sides by 42,
$ \Rightarrow $ $42 \times 1$ miles per hour = $42 \times \dfrac{1}{{60}}$ miles per minute
Multiply the terms,
$ \Rightarrow $ 42 miles per hour = $\dfrac{{42}}{{60}}$ miles per minute
Divide numerator by denominator on the right side,
$ \Rightarrow $ 42 miles per hour = 0.7 miles per minute
Hence, the conversion of 42 miles per hour is 0.7 miles per minute.
Note: If the problem was given to convert kilometers to meters, there is a standard equation for this type of conversion. To convert a Kilometer per hour into a meter per second, we need to multiply by 5 and then divide it by 18. This standard form got from this $\dfrac{{\dfrac{{1km}}{{1000}}}}{{\dfrac{{1hr}}{{3600}}}}$ fraction which we used in the solution to solve. When we solve this fraction, we will get the above form.
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