Cait can bike 32 miles in the same amount of time that Carl can bike 24 miles. If Cait bikes 2 mph faster than Carl, how fast does Cait bike?

Let t = time in hrs for both to go 32 mi

Let s = Carl's speed in mi/hr

s + 2 = Caits speed in mi/hr

Carl's equation:

(1) 24 = s · t

Cait's equation:

(2) 32 = (s+2) · t

(2) 32 = s · t + 2t

and

(1) s = 24/t

Plug (1) into (2)

(2) 32 = (24/t) · t + 2t

(2) 32 = 24 + 2t

(2) 2t = 8

(2) t = 4

and

(1) s = 24/4

(1) s = 6

its d but looking at that hurts my eyes frfr

step-by-step explanation: