Question

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes workers weeks to build miles of highway. How many workers would be needed to build miles of highway in weeks?

Answer 1

Answer:

worker needed to build highway is = $\frac{k\times L}{T}$  

Explanation:

given data

highway length = L

time taken = T

no of worker = N

solution

we know that highway is varies directly with length and varies inversely with the number of worker

so we can say

T ∝ $\frac{L}{N}$     ................1

T = k × $\frac{L}{N}$

here  is constant

so worker needed to build highway is = $\frac{k\times L}{T}$