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
  • 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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
rate * time = distance Let k = Kelly's speed or rate in miles/hour. Judith's rate is 2 greater or k+2. Solving for time, time = distance/rate Kelly's time = 50/k and Judith's time is 50/(k+2) Kelly's time is 48 minutes or 48/60 hours more than Judith's. Have to keep the dimensional units consistent. Equate the times adjusting for the time difference. \[\frac{50}{k}-\frac{48}{60}\text{=}\frac{50}{k+2} \]Solve the equation for k.\[\left\{\left\{k\to -1-3 \sqrt{14}\right\},\left\{k\to -1+3 \sqrt{14}\right\}\right\} \]\[\{\{k\to -12.225\},\{k\to 10.225\}\} \]10.225 mph is Kelly's speed. Notice that the absolute value of the other solution for k is 2 greater than kelly's, so that must be Judith's speed, 12.225 mph. These two results are the requested answers for this problem.

Looking for something else?

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