Jesse rode his bike for 2 hours at a constant rate. during the first 1.5 hours, he rode 15 miles. how many miles did jesse ride his bike during the last half hour? (enter an exact number.)

Jesse rode his bike 5 miles during the last half hour.

Explanation

Suppose, the constant speed of the bike is   miles/hour

Jesse traveled 15 miles for the first 1.5 hours. As , so the speed of the bike will be: miles/hour

Now also,

So, the distance traveled for the last hour will be:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x