SOLUTION: Anna builds a house in 3 hours,Jill builds houses in 8 hours, how long will it take them to build a house together? Is t 12 hrs?

Question 816601: Anna builds a house in 3 hours,Jill builds houses in 8 hours, how long will it take them to build a house together? Is t 12 hrs?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
work rate:
r = units / time
---
a = 1 job / 3 hrs
j = 1 job / 8 hrs
---
net work rate:
n = a + j
n = 1/3 + 1/8
n = 8/24 + 3/24
n = 11/24
---
net time:
t = 1/n
t = 24/11
t = 2.182 hours
---
Answer:
2 hours 10 minutes 54.5 seconds
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