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elena-s [515]
3 years ago
15

If Jackie were to paint her living room alone it would take five hours. Her sister Violet could do the job in six hours. How lon

g would it take them working together?
Mathematics
1 answer:
yuradex [85]3 years ago
6 0
Find how much work they get done in 1 hour
jackie takes 5 hours to do 1 room, so in 1 hour, she does 1/5 room
voilet take 6 hours to do 1 room so in 1 hour, she does 1/6 room

together, they do 1/5+1/6 room in 1 hour
make common denom
1/5+1/6=6/30+5/30=11/30 in 1 hour
11/30 times time=1 room
times both sides by 30/11
time=30/11 hour
time=2 and 8/11 hour
that is about 2 hours and 44 mins


2 and 8/11 hour or 30/11 hours
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