Question

All I need is the answer please and thank you

Answer 1

The carton that measures 3 ft by 2 ft by 2 ft has a capacity of

`\begin{gathered} 3*2*2=12ft^3 \\ \text{and the machine can pack it with material in 3 secs} \end{gathered}`

The carton that measures 4 ft by 5ft by 6f has a capacity of

`\begin{gathered} 4*5*6=120ft^3 \\ \text{and the machine can pack it with material in }x\text{ secs} \end{gathered}`

So we have

`\begin{gathered} 12ft^3\rightarrow3\sec s \\ 120ft^3\rightarrow x\sec \\ \text{cross multiplying we have } \\ 12* x=120*3 \\ x=(120*3)/(12) \\ x=30\sec s \end{gathered}`

Hence the answer is 30 secs