Wendy begins sanding a kitchen floor by herself and works for 8 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choose the correct option:
A) 544/49 hours
B) 3/20 hours
C) 20/3 hours
D) 80/9 hours
E) 10 hours
Let Wendy finishes sanding the floor alone in W hours while B be the hours for Bruce.   Thus in 1 hour Wendy finishes 1/w of the work while Bruce finishes 1/B of the work.   If wendy works for 8 hours and is then joined by Bruce to finish the work in 2 more hours,   8/W + 2/W+2/B = 1 (1 denotes the total amount of work)   10/W + 2/B =1 and given B =20 hours.   Thus W = 544/49 hours , 544/49 hours is the correct answer.
<result>A</result>
Wendy begins sanding a kitchen floor by herself and works for 8 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?