3 people traveled 27 miles total and person number 2 went 6 miles more than person number 1 and person number 3 went 3 miles more than person number 2. Solve problem algebraically

Answer : The distance travelled by person 1, person 2 and person 3 is, 4 miles, 10 miles and 13 miles respectively.

Step-by-step explanation :

Let the distance travelled by person number 1 = x miles

Then, the distance travelled by person number 2 = (x+6) miles

And, the distance travelled by person number 3 = (x+6) + 3 miles = (x+9) miles

Total distance travelled by 3 persons = 27 miles

As per question,

x + (x+6) + (x+9) = 27

3x + 15 = 27

3x = 27 - 15

3x = 12

x = 4

The distance travelled by person number 1 = x miles = 4 miles

The distance travelled by person number 2 = (x+6) miles = (4+6) miles = 10 miles

The distance travelled by person number 3 = (x+9) miles = (4+9) miles = 13 miles

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.