Chapter 3, Problem 12STP

(a)

To determine

To calculate:To write an equation to find the number of hours in any number of minutes

Answer to Problem 12STP

The equation to find the number of hours in any number of minutes is $h=\frac{m}{60}$

Explanation of Solution

Given information:There are $60$ minutes in one hour

Calculation:

Let the number of hours be $h$

Let the number of minutes be $m$

Given that there are $60$ minutes in one hour

That is,

  $60\min =1hour$

  $1\min =\frac{1}{60}hour$

Therefore,

  $m\min =\left(\frac{1}{60}\times m\right)hour$

  $=\left(\frac{m}{60}\right)hour$

Hence, required equation is $h=\frac{m}{60}$

(b)

To determine

To calculate: To find number of hours in $210$ minutes

Answer to Problem 12STP

Number of hours in $210$ minutes is $3\frac{1}{2}hours$

Explanation of Solution

Given information:Equation to find the number of hours in any number of minutes is $h=\frac{m}{60}$

Calculation:

Given the equation to find the number of hours in any number of minutes is as follows

  $h=\frac{m}{60}$ ----(1)

Here, number of hours needs to be calculated for $210$ minutes

Thus,

  $m=210$

Substituting the value in (1),

  $h=\frac{210}{60}$

On solving,

  $\begin{array}{l}h=\frac{21}{6}\\ h=\frac{7}{2}\\ h=3\frac{1}{2}hours\end{array}$

Hence, required number of hours is $3\frac{1}{2}hours$