Question

A construction crew is lengthening a road. The road started with a length of 52 miles, and the crew is adding 2 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 31 days.

Answer 1

Answer:  Equation : L = 52 + 2D ;  Total Length = 31 Miles

Explanation:

Initial Length = 52 miles.

Additional Length each day = 2 miles

Number of days = D

Total Length = L

L = 52 + 2D

When D = 31, L = 52 + 2(31) = 114 miles

Answer 2

The required equation is $L=52+2D$ and required total length is $114\;\rm{miles$.

Step-by-step explanation:

Given: A construction crew is lengthening a road. The road started with a length of $52$ miles, and the crew is adding $2$ miles to the road each day. Let $L$ represent the total length of the road (in miles), and let $D$ represent the number of days the crew has worked. Write an equation relating $L\;\rm{to}\;D$.

According to question,

Initial Length of road is $52\;\rm{miles$

length of roads added by crew each day is $2\;\rm{miles$

Number of days worked by crew is represented by .

Total Length of road constructed by crew is represented by $L$

Equation based on given condition can be formulated as $L=52+2D$.

Now, Total length of road constructed by crew after $31$ days is calculated as $L=52+2\times 31=52+62=114\;\rm{miles$.

Hence, Required equation is $L=52+2D$ and required total length is $114\;\rm{miles$.

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