Problema Solution
While building a new apartment complex, the work crew found that it took 5 people to frame 5 apartments in 7 hours. The foreman added 9 more people to the job. How many hours would it take them to frame 40 apartments.
Answer provided by our tutors
5 people frame 5 apartments in 7 hours that is the rate of 5 people is 5/7 apartments in hour
5 + 9 = 14 people will frame 40 apartments in t hours that is the rate of 14 people will be 40/t apartments in hour
since the rate grows proportional with the number of people we can write the following proportion
5 : 14 = 5/7 : 40/t
by solving the proportion we find
t = 20 hours
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14 people can frame 40 apartments in 20 hours.