anonymous
  • anonymous
Judith can ride her bike 2 mi/h faster than kelly. Judith takes 48 min less to travel 50 miles than Kelly does. What is each person's speed in miles per hour??
Mathematics
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anonymous
  • anonymous
Judith can ride her bike 2 mi/h faster than kelly. Judith takes 48 min less to travel 50 miles than Kelly does. What is each person's speed in miles per hour??
Mathematics
jamiebookeater
  • jamiebookeater
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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.

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dumbcow
  • dumbcow
Let j be judiths speed and k be kellys speed j = k+2 we also know distance = rate*time convert 48 min to hours (48/60 = 4/5) judith: 50 = (t-4/5)*j kelly: 50 = t*k set both equations equal to each other and replace j with (k+2) tk = (t-4/5)(k+2) tk = tk +2t -4/5k -8/5 0=2t -4/5k -8/5 t = 2/5k + 4/5 substitute this value in for t to find k 50 = k(2/5k +4/5) 2/5k^2 +4/5k -50 = 0 get rid of fractions by multiplying equation by 5 2k^2 +4k -250 =0 quadratic equation gives k = 10.225 mph j = k +2 j = 12.225 mph

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