Question

Sam takes 4 hours to peel 32 potatoes, while Josh takes 5 hours to peel 30 potatoes.How long is it going to take both Sam and Josh to peel 100 potatoes together

Answer 1

EXPLANATION

Given that it takes 4 hours to peel 32 potatoes, and 5 hours to peel potatoes to Josh, assuming that x represent the time, we can apply the following reasoning:

First, we need to compute the unit rate for Sam and Josh as follows:

`\text{Sam rate=}\frac{32potatoes}{4\text{ hours}}=8\frac{potatoes}{\text{hour}}`
`\text{Josh rate=}\frac{30\text{ potatoes}}{5\text{ hours}}=6\frac{potatoes}{\text{hour}}`

Now, we can compute the time by multiplying each rate by the amount needed of time as shown as follows:

`8x+6x=100`

Adding like terms:

`14x=100`

Dividing both sides by 14:

`x=(100)/(14)`

Simplifying:

`x=(50)/(7)=7.14\text{ hours}`

It will take approximately 7 hours to peel 100 potatoes to Sam and Johh together.