SOLUTION: One crew can detassel a field of corn in 6 days. Another crew can do the same job in 4 days. If the slower crew works alone for the first two days of detasseling and then is joined

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One crew can detassel a field of corn in 6 days. Another crew can do the same job in 4 days. If the slower crew works alone for the first two days of detasseling and then is joined      Log On


   

Question 168054This question is from textbook algebra and Trigonometry
: One crew can detassel a field of corn in 6 days. Another crew can do the same job in 4 days. If the slower crew works alone for the first two days of detasseling and then is joined by the faster crew, how long will it take the two crews to finish? This question is from textbook algebra and Trigonometry

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One crew can detassel a field of corn in 6 days. Another crew can do the same
job in 4 days. If the slower crew works alone for the first two days of
detasseling and then is joined by the faster crew, how long will it take
the two crews to finish?
:
Let t = time required for two crews to finish
:
Let the completed job = 1
:
Crew one time = t+2
Crew two time = t
:
%28%28t%2B2%29%29%2F6 + t%2F4 = 1
:
Multiply equation by 12 to get rid of the denominators, results:
2(t+2) + 3t = 12
:
2t + 4 + 3t = 12
:
5t = 12 - 4
:
5t = 8
:
t = 8%2F5
t = 1.6 days to complete the job
:
:
Check solution in the original equation
%28%281.6%2B2%29%29%2F6 + 1.6%2F4 =
3.6%2F6 + 1.6%2F4 =
.6 + .4 = 1