SOLUTION: if it takes a crew 8 hours to finish cleaning the auditorium if the second group help it takes 3.5 hours. how long would it take for the second group alone to clean the auditorium.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if it takes a crew 8 hours to finish cleaning the auditorium if the second group help it takes 3.5 hours. how long would it take for the second group alone to clean the auditorium.      Log On


   



Question 679282: if it takes a crew 8 hours to finish cleaning the auditorium if the second group help it takes 3.5 hours. how long would it take for the second group alone to clean the auditorium.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
1/8+1/x=1/3.5
1/x=1/3.5-1/8
1/x=(8-3.5)/3.5*8
1/x=4.5/28 cross multiply.
.5x=28
x=28/.5
x=6.22 hours for the second team working alone.
Proof:
1/8+1/6.2=1/3.5
(6.2+8)/8*6.2=1/3.5
14.2/49.6=1/3.5
49.6=3.5*14.2
49.6=49.7