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algebra intermediate

Problem

Six construction workers that work at the same rate can build a house in 1.5 days. How long does it take 15 construction workers, working at the same rate, to finish building a house? Express your answer as a fraction in lowest terms.
Solution
The number of workers is inversely proportional to the amount of time it takes to build a house. Thus Using this, we have that . As a fraction in lowest terms this is .
Final answer
\frac{3}{5}