A highway 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?

Question

27-10-2015
Mathematics

contestada

A highway 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?

Respuesta :

Otras preguntas

Someone who has anterograde amnesia would have an inability to remember which of the following? a) their mother’s name b) how they drove to work that day c) the

In 2012 the population at a middle school was 695 students. In 2016, the population had grown to 825 students. Assuming a constant rate of change, predict the

Synapses... a) are found only in the central nervous system b) carry electrical signals along the length of an axon c) are gaps between neurons where chemical s

A boxer can punch a heavy bag for more than an hour without tiring, but will tire quickly when boxing with an opponent for a few minutes. Why? (Hint: When the b

Write 10^5 in standard form

Scientists believe Earth is about how many billion years old? A. 3 billion years B. 4.5 billion years C. 6 billion years D. 7.5 billion years

What was the importance of the Roman victory at Zama? The victory at Zama secured Roman dominance over the Greeks and thereby the influence of Greek culture on

Which of the following is the most precise procedure for measuring the volume of a small rock sample about the size of a nickel? A. Reading the volume at the me

in cell B20, enter a function to calculate the average attendance for 2018

Who is most likely the target audience of the bill of rights

ACCESS MORE

taskmasters taskmasters · Answer 1 · 2015-10-27T19:25:49+01:00

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.