Say Frank can build a model airplane in 3 days, Jo can do it in 2, but Moe can only do it in 5 days. If they work together, they’ll build a model plane in:
Possible Answers
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0.5 days
0.76 days
10 days
0.97 days
2 days

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- anonymous

i think its 0.76 im not sure really i think its the rule of 3

- anonymous

a/b = c/x

- anonymous

nope its not 0.76 thats what i guessed.

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- anonymous

would it be 2 days?
since that is the fastest jo can do it

- anonymous

thats the best i can think of sorry

- anonymous

\[T_{F} = 3, T_{Jo} = 2, T_{Moe} = 5\]\[R_{F} = W/T_{F}, R_{Jo} = W/T_{Jo}, R_{M} = W/T_{M}\]
W is work to be done to build a model airplane, R rate of work of wach person
when three work together time taken \[W/(W/T_{F} +W/T_{Jo} +W/T_{M})\]
0.97 days

- anonymous

@sumanth4phy what formula is that? Rate = work / time? could you explain what you did there?

- anonymous

I see how you add their separate rates but why what are you dividing?

- anonymous

yeah Rate/Speed at which work is done = W/T
I need time so T=W/R hence the division

- anonymous

OH gotcha riiight

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