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

Algebra.Com
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)   (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.


RELATED QUESTIONS

of 5x workers can build a car in 4y days how many days will it take 2z work at the same... (answered by josgarithmetic)
It takes 15 men to build a house in 120 days.Working at the same rate how many men are... (answered by stanbon)
Ten workers can paint a house in six days. Working at the same rate, how many days will... (answered by Alan3354)
if 5 men can build a house in 16 days how long will it take just 2 men to build the same... (answered by ankor@dixie-net.com)
it takes 8 men to build a wall in 30 days. How long would it take 10 men to build the... (answered by JulietG)
It will take 24 men working 9 hours a day each to build a house in 45 days. Given that... (answered by lwsshak3)
It takes 36 days for 27 people, who are all working together at the same rate, to build a (answered by vheroli,josgarithmetic)
it takes tweanty-four days for eighteen people,who are all working together at the same... (answered by ewatrrr)
It takes 30 people 60 working days to build a small bridge. How many people are needed... (answered by stanbon)