SOLUTION: 25 workers are needed to build a house in 16 days. how many days will 28 wokers working at the same rate take to build the same house? inverse proportion question solve with unitar

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Question 946486: 25 workers are needed to build a house in 16 days. how many days will 28 wokers working at the same rate take to build the same house? inverse proportion question solve with unitary method
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
unitary method involves the inverse variation equation of y = x/k

16 = number of days = y
25 = number of workers = x

equation of y = k/x becomes 16 = k/25.

solve for k to get k = 16 * 25 = 400

when you have 28 workers, the equation becomes y = 400 / 28 which simplifies to 100 / 7 days which is the same as 14 and 2/7 days.

it would take 28 workers 14 and 2/7 days working at the same rate per worker.