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Sam takes 4 hours to peel 32 potatoes, while Josh takes 5 hours to peel 30 potatoes. (a) How long is it going to take both Sam and Josh to peel 100 potatoes together? (b) How many potatoes will they peel together in 12 hours?

Sagot :

facundo3141592

We can define a rate as the quotient between two variables.

With this we will find:

a) 7.14 hours

b) 168 potatoes.

Knowing that Sam takes 4 hours to peel 32 potatoes, the rate at which he peels potatoes is:

S = (32 potatoes)/(4 hours) = 8 potatoes per hour.

And we know that Josh needs 5 hours to peel 30 potatoes, then Josh's rate is:

J = (30 potatoes)/(5 hours) = 6 potatoes per hour.

a) If Josh and Sam work together, then the rate at wich they work is:

(S + J)

And we want to find the time T such that they peel  100 potatoes.

Then we need to solve for T:

(S + J)*T  = 100 potatoes

(8 potatoes per hour + 6 potatoes per hour)*T = 100 potatoes

(14 potatoes per hour)*T = 100

T  = 100/(14 potatoes per hour) = 7.14 hours

So they need 7.14 hours to peel 100 potatoes.

b) Here we just need to compute:

(S + J)*12 hours

(14 potatoes per hour)*12 hours = 168 potatoes.

If you want to learn more, you can read:

https://brainly.com/question/24542879

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