Ahighway is under construction. the workers have completed 2/5 of the total length. if the workers complete an additional 7.5 miles, then they would have completed 1/2 of the total length. what is the total length (miles) of this highway under construction?

Let us assume that the total length of the highway = X
From the question, we know that the workers have completed 2/5 of the total length. Then the distance upto which work is completed = 2X/5
On completing another 7.5 miles, the work would be complete by half.
So
2X/5 + 7.5 = X/2
(X/2) - (2X/5) = 7.5
(5X/10) - (4X/10) = 7.5
(5X -4X)/10 = 7.5
X/10 = 7.5
X = 7.5 * 10
   = 75
So the total length of the highway under construction is 75 miles.

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