SOLUTION: Solve and show work. Sue can sew a precut dress in 3 hours. Helen can sew the same dress in 2 hours. If they work together, how long will it take them to complete sewing that dr

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Solve and show work. Sue can sew a precut dress in 3 hours. Helen can sew the same dress in 2 hours. If they work together, how long will it take them to complete sewing that dr      Log On


   

Question 83706: Solve and show work.
Sue can sew a precut dress in 3 hours. Helen can sew the same dress in 2 hours. If they work together, how long will it take them to complete sewing that dress? Give your answer rounded to one decimal place, if necessary.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and show work.
Sue can sew a precut dress in 3 hours. Helen can sew the same dress in 2 hours. If they work together, how long will it take them to complete sewing that dress? Give your answer rounded to one decimal place, if necessary.
Sue can sew 1 dress in 3 hours: 1/3
Helen can sew 1 dress in 2 hours: 1/2
Together they can sew 1 dress in t hours: 1/t
Problem to solve:
1%2F3%2B1%2F2=1%2Ft
The LCD is 2*3*t=6t. If you multiply everything by the LCD you can clear your fractions:
6t%281%2F3%29%2B6t%281%2F2%29=6t%281%2Ft%29
2t%2B3t=6
5t=6
5t%2F5=6%2F5
highlight%28t=1.2hrs%29
Happy Calculating!!!!