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.Com
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) (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
:
+ = 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 =
t = 1.6 days to complete the job
:
:
Check solution in the original equation
+ =
+ =
.6 + .4 = 1
RELATED QUESTIONS
A 3-men crew can do a certain job in 3 weeks and 2 days, if we are to hire 4 men crew... (answered by josmiceli)
Two crews can complete a job in 45 days when working together. On their own, one crew... (answered by ankor@dixie-net.com)
If a crew of 9 workers can paint a house in 14 days. How long will it take a crew of 5 to (answered by ankor@dixie-net.com)
A painting crew can paint 4 room in 7 hours. If the crew works at the rate, how many... (answered by josmiceli)
All members of a crew work at the same pace. If only 4 of them are working, they complete (answered by josgarithmetic)
One road crew can pave a section of highway in 15 h. A second crew can do the same job in (answered by josgarithmetic,ikleyn,Alan3354,greenestamps)
A library crew can shelve books in eight hours. another crew can do the job in six hours. (answered by lwsshak3)
A library crew can shelve books in six hours. Another crew can do the job in four hours.... (answered by josmiceli)
One roofing crew of 5 can finish A 3,800-foot roof in 15 hours, ans another crew of 6 can (answered by richwmiller)