SOLUTION: A farmer can plant 8 trees in 6 days. His friend can plant 6 trees in 9 days. Working together, how many trees can they plant in 15 days?

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Question 979975: A farmer can plant 8 trees in 6 days. His friend can plant 6 trees in 9 days. Working together,
how many trees can they plant in 15 days?

Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


8 trees in 6 days is 4/3 trees in 1 day. 6 trees in 9 days is 2/3 of a tree in 1 day. Working together they plant 4/3 plus 2/3 trees or 2 trees per day. You can figure out the rest.

John

My calculator said it, I believe it, that settles it

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
RT=J uniform rate model relating RATE, TIME, Amount of JOB.

The two farmers are farmer A at rate A and farmer B at rate B.
The rate model form can also be shown as , and we can then use
this to assign and , both in units of TREES per DAY.

Their combined rate if working together on the same work is .

Question, how many trees j can A and B plant in t=15 days? The unknown variable is j.



and you can do the arithmetic computation.

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