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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
: 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?

Answer by ankor@dixie-net.com(4531) 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/2 + t/3 = 1
Get rid of the denominators multiply each term by 6, results:
3t + 2t = 6
:
5t = 6
t = 6/5
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!!