Question

Gina started hiking down a mountain trail at the same time that Melissa started hiking up the trail. Melissa's elevation is represented by the equation h = 2 + t, and Gina's elevation is represented by h = 9.5 – 1.5t, where t represents the number of hours they have been hiking. What point represents the time, in hours, since they started hiking and the elevation where Melissa and Gina meet on the trail?

Answer 1

they will meet 3 hours at a hight of 5 units

Explanation:

Answer 2

When they meet h=h so we can say:

2+t=9.5-1.5t add 1.5t to both sides

2+2.5t=9.5 subtract 2 from both sides

2.5t=7.5 divide both sides by 2.5

t=3 hours

h=2+t=2+3=5

So they will meet after hiking 3 hours at a height of 5 units.