SOLUTION: Two paper hangers work at different rates. The first worker can wallpaper a wall in 2 hours. The second takes 3 hours to wallpaper the same wall. How long would it take the two wor

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Question 373144: Two paper hangers work at different rates. The first worker can wallpaper a wall in 2 hours. The second takes 3 hours to wallpaper the same wall. How long would it take the two workers working together to paper the wall?
Answer by CharlesG2(834) About Me  (Show Source):
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Two paper hangers work at different rates. The first worker can wallpaper a wall in 2 hours. The second takes 3 hours to wallpaper the same wall. How long would it take the two workers working together to paper the wall?

total time = (1 job)/((1 job)/(time for A) + (1 job)/(time for B))
units: hrs = job/(job/hrs + job/hrs) --> hrs = job * hrs/job = hrs
time = 1/(1/2 + 1/3)
time = 1/(3/6 + 2/6)
time = 1/(5/6)
time = 6/5 hrs
time = 1.2 hrs working together to paper the wall