Question

The Earth travels around the Sun at a speed of approximately $18.5$ miles per second. This approximate speed is how many miles per hour?

Answer 1

We know the speed in one second now using this we have to further solve this problem. First convert the second into minutes then multiply it with the given speed. Again convert one minute into one hour and at the same tie multiply that time with the speed. Finally we will get our solution.

Complete step by step answer:
As per the problem the Earth travels around the Sun at a speed of approximately $18.5$ miles per second.
Now we have to find the approximate speed per hour.
Speed = $18.5$ mile per second
Which means it travels $18.5$ miles in one second.
Mathematically we can write,
$1\sec \to 18.5miles$
Now after $60\sec$ it reaches a distance of,
$60\sec \to 18.5 \times 60miles$
$\Rightarrow 60\sec \to 1110miles$
We know that,
$60\sec = 1\min$
Hence now we can write,
$1\min \to 1110miles$
Now after $60\min$ it reaches a distance of,
$60\min \to 1110 \times 60miles$
$\Rightarrow 60\min \to 66,600miles$
We know that,
$60\min = 1hour$
Hence now we can write,
$1hour \to 66,600miles$
Hence we can say that the approximate speed be $66,600{\text{miles}}\,{\text{h}}{{\text{r}}^{{\text{ - 1}}}}$.

Note: The speed of a body is the magnitude of the rate of change of positions with time or we can say that the magnitude of the change of its position per unit time. Speed is a scalar quantity whose SI unit is $m{s^{ - 1}}$. Remember that the Earth takes $23$ hours $56$ minutes $4$ seconds to go for one complete round about its own axis and $365.256363$ days for one complete round around the sun.