Question

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Sanford can assemble a computer in 60 minutes. Colleen can assemble a computer in 40 minutes. If they work together, how many minutes does it take them to assemble a computer?
5 minutes
6 minutes
20 minutes
24 minutes

Answer 1

It will take 24 minutes if they both work together

Answer 2

I think the assessment you need to make in this question is: What will happen if someone joins their efforts to finish something. Based off the information given, the answer would be C - 24 Minutes. Why? Well let's think about it a bit.

We will put this into a math problem using the variable c for Colleen and s for Sanford:

Sanford can only build 1 computer in 60 minutes:
1 = s*60
Solve for s: s= 1/60

Colleen can only build 1 computer in 40 minutes:
1 = c*40
Solve for c: c= 1/40

Now we need to figure out how much time it would be for both to build a computer together, t is a placeholder for time:
1 = (s + c) * t or
`t=1/(s+c)`

Plug in your values:

`t= (1)/(((1)/(60)+(1)/(40))) = 24 Minutes`