Chapter 11.8, Problem 23PPS

To determine

To calculate: the time taken to make $60$ pound ice if both machine work together.

Answer to Problem 23PPS

The time taken to make $60$ pound ice is $26.2hours$ .

Explanation of Solution

Given:

One ice machine makes $30$

  $1$ b/day.

The ice machine makes $25$

  $1$ b/day.

Calculation:

The objective is to calculate the time taken to make $60$ pound ice if both machine work together.

At first find the rate.

So,

  $\frac{30}{24}$ and $\frac{25}{24}$

Let, $t$ be the time.

The required time is calculated below.

  $\begin{array}{l}\frac{30}{24}t+\frac{25}{24}t=60\\ \frac{30t+25t}{24}=60\\ 55t=1440\\ t=26.2hours\end{array}$

Therefore, the time is $26.2hours$ .

Conclusion:

Therefore, the time taken to make $60$ pound ice is $26.2hours$ .