Step 1 :The problem is asking for an equation that relates the total length of the road (L) to the number of days the crew has worked (D). From the problem, we know that the road started with a length of 59 miles and the crew is adding 3 miles to the road each day. This means that for each day D, the length of the road increases by 3 miles. Therefore, the equation relating L to D is \(L = 59 + 3D\).
Step 2 :The problem also asks for the total length of the road after the crew has worked 37 days. We can find this by substituting D = 37 into the equation.
Step 3 :Substitute D = 37 into the equation, we get \(L = 59 + 3 \times 37\).
Step 4 :Calculate the expression, we get \(L = 170\).
Step 5 :Final Answer: The equation relating the total length of the road (L) to the number of days the crew has worked (D) is \(L = 59 + 3D\). The total length of the road after the crew has worked 37 days is \(\boxed{170}\) miles.