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
Algebra.Com
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) (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
;
+ = 1
Get rid of the denominators multiply each term by 6, results:
3t + 2t = 6
:
5t = 6
t =
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!!
RELATED QUESTIONS
If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would... (answered by stanbon)
sammy can mow a lawn in 3 hours. his two young brothers can each do the job in 2 hours.... (answered by alma11,Alan3354)
sammy can mow a lawn in 3 hours. his two young brothers can each do the job in 2 hours.... (answered by KMST)
Working together Miles and Maya can cut and trim a lawn in two hours. If it takes Miles... (answered by ankor@dixie-net.com)
Help with word problem please.
I do not where and how to start this.
I need to just (answered by jorel1380)
If bob can mow a lawn in 5 hours, and jim can mow the same lawn in 3 hours,how long will... (answered by mananth)
Frank can cut his lawn in 4 1/2 hours, his wife can cut the same lawn in 4 hours, while... (answered by solver91311,richwmiller)
If it takes your friend 3 hours to mow the lawn and it take you 2 hours to mow the lawn... (answered by richwmiller)
You can mow your neighbor’s lawn in 2 hours. Your friend needs 3 hours to mow the... (answered by ewatrrr)