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
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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
