Question

Sam takes 4 hours to peel 32 potatoes, while Josh takes 5 hours to peel 30 potatoes. How many potateos will they peel together in 12 hours?

Answer 1

Given:

Sam takes 4 hours to peel 32 potatoes.

Josh takes 5 hours to peel 30 potatoes.

The objective is to find the number of potatoes they will peel together in 12 hours.

Step-by-step explanation:

Consider the number of potatoes peeled by Sam in 1 hour as x.

The value of x can be calculated as,

`\begin{gathered} x=(32)/(4) \\ x=8 \end{gathered}`

Similarly, consider the number of potatoes peeled by Josh in 1 hour as y.

The value of y can be calculated as,

`\begin{gathered} y=(30)/(5) \\ y=6 \end{gathered}`

Number of potatoes peeled in 1 hour:

The number of potatoes peeled by both in 1 hour can be calculated as,

`\begin{gathered} n=x+y \\ =8+6 \\ =14 \end{gathered}`

Number of potatoes peeled in 12 hour:

The number of potatoes peeled by both in 12 hour can be calculated as,

`\begin{gathered} N=12n \\ =12(14) \\ =168 \end{gathered}`

Hence, the number of potatoes they will peel together in 12 hours is 168.