Chapter SH, Problem 6.3.14EP

To determine

To calculate: The conversion of 40 kilometers per hour to miles per minute.

Answer to Problem 6.3.14EP

The required conversion is 0.41 mile per minute.

Explanation of Solution

Calculation:

It is known that 1 hour = 60 min

And, 1 mile = 1.61 kilometers

To complete the conversion of 40 kilometers per hour, multiply the term 40 kilometers per hour by $\frac{1\text{mile}}{1.61\text{km}}$ and $\frac{1\text{hour}}{60\text{min}}$ .

  $\begin{array}{c}\frac{40\text{km}}{1\text{hour}}=\frac{40\cancel{\text{km}}}{\cancel{1\text{hour}}}\times \frac{1\text{mile}}{1.61\cancel{\text{km}}}\times \frac{\cancel{1\text{hour}}}{60\text{min}}\\ =\frac{40}{1.61\times 60}\text{mile}/\text{min}\\ \approx 0.41\text{mile}/\text{min}\end{array}$

Hence, the required conversion is 0.41 mile per minute.