anonymous
  • anonymous
Connor and Matt walk a 12 mile couse as part of a fitness program. Matt walks 1 mi/hr faster than Connor, and it takes him 1 hour less than Connor to complete the course. How long does it take Connor to complete the course? (work too please) (fyi answer is 5 hours)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dumbcow
  • dumbcow
d = r*t for both Matt and Connor, d = 12 Let r be Connors speed and t be his time Then Matts speed is r+1 because he walks 1 mph faster Matts time is t-1 because it takes 1 less hour to complete course set up system of 2 equations: (i) r*t = 12 (ii) (r+1)(t-1) = 12 expand (ii) r*t -r +t -1 = 12 replace r*t with 12 from (i) 12 -r +t -1 =12 solve for r -r + t = 1 r = t-1 replace r with t-1 in (i) t*(t-1) = 12 t^2 -t -12 = 0 (t-4)(t+3) =0 t must be positive for this problem (cant walk 12mi in neg time) t = 4 therefore r = 3 It takes Conner 4 hours to walk 12mi at rate of 3 mph
dumbcow
  • dumbcow
not sure where you got 5 from if t=5 then r = d/t = 12/5 = 2.4 matt rate would be 3.4 his time would be d/r = 12/3.4 = 3.52 this is more than an hour faster than Conner

Looking for something else?

Not the answer you are looking for? Search for more explanations.