Question

 A soap factory had two machines - the first produces 1 detergent cake every 20 seconds and the second produces 12 cakes every 5 minutes. Which machine is more efficient and how much more?​

Answer 1

Answer:

In case of 1st machine,

1 detergent cake is produced in 20 seconds

In case of 2nd machine,

12 detergent cakes are produced in 300 seconds(5 minutes)

1 detergent cake is produced in 25 seconds (300÷12)

Cleary, the 1st machine is more efficient by 5 seconds.(25-20)

Step-by-step explanation:

I hope it would help u out

Answer 2

Given,

Time taken by machine one to make one detergent$\[ = 20\,\sec \]$

Time taken by machine two to make $\[12\]$ detergent$\[ = 5\min \]$

Solution,

The time taken by machine two to make $\[12\]$ detergents is

$\[\begin{array}{l} = 5 \times 60\\ = 300\end{array}\]$

So, the time taken by machine two to make one detergent is

$\[\begin{array}{l} = \frac{{300}}{{12}}\\ = 25\end{array}\]$

Therefore, the time difference is

$\[\begin{array}{l} = 25 - 20\\ = 5\end{array}\]$

Hence, machine one is more efficient by $\[5\]$ seconds.