Chapter 7.3, Problem 61STP

To determine

To Find:

The formula that converts minutes to days.

Answer to Problem 61STP

  $d(m)=\frac{m}{1440}\text{ converts minutes to days}\text{.}$

Explanation of Solution

Given:

The formula $h=\frac{m}{60}$   converts minutes m to hours h, and   $d=\frac{h}{24}$ converts hours h to days d.

Calculation:

  $\begin{array}{l}Given\\ h=\frac{m}{60}\mathrm{.........}(1)\\ d=\frac{h}{24}\mathrm{.........}(2)\\ Substituteh=\frac{m}{60}\text{ in the equation (2)}\\ d=\frac{h}{24}=\frac{1}{24}\cdot \left(\frac{m}{60}\right)=\frac{m}{1440}\\ So,\\ \left[d\circ h\right](m)=\frac{m}{1440}\\ d(m)=\frac{m}{1440}\text{ converts minutes to days}\text{.}\end{array}$