SOLUTION: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your so

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Question 155235This question is from textbook Elementary and intermediate algebra
: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?
This question is from textbook Elementary and intermediate algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how
long would it take if you work together? What assumptions (if any) did you
make to arrive at your solution?
:
Let t = time required working together
:
Let the completed job = 1
:
The fraction of the job, that each does, adds up to 1
;
t%2F2 + t%2F3 = 1
Get rid of the denominators multiply each term by 6, results:
3t + 2t = 6
:
5t = 6
t = 6%2F5
t = 1.2 hrs working together
:
:
Check solution on calc: enter (1.2/2) + (1.2/3) = 1
:
You have to assume that you have two lawn mowers!!