Question 168054
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
:
{{{((t+2))/6}}} + {{{t/4}}} = 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 = {{{8/5}}}
t = 1.6 days to complete the job
:
:
Check solution in the original equation
{{{((1.6+2))/6}}} + {{{1.6/4}}} = 
{{{3.6/6}}} + {{{1.6/4}}} = 
.6 + .4 = 1