Question

Cheryl does a 2 mile warm up trail run at one rate for half of her workout. In the same amount of time she runs an additional 3 miles at a rate that is 2 mph faster. Find Cheryl's rate for her 2 mile warm-up run and for the 3 mile portion of her run.

Answer 1

Rate no. 1 = r mi/h.
Rate no. 2 = r+2 mi/h.

r*t = 2, t = 2/r.

(r+2)*t = 3
(r+2)2/r = 3,
2 + 4/r = 3, 4/r = 1, r = 4 mi/h.

(r+2) = 4+2 = 6 mi/h.