anonymous
  • anonymous
A car and a motorcycle whose average rates are in the ratio of 4:5 travel a distance of 160 miles. If the motorcycle travels 1/2 hour less than the car, find the average rate of each.
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
4:5 means the is 4/5 the speed of the motorcycle d=s*t 160=s1*(t) 160=s2*(t-30) s1*(t)=s2*(t-30) 4/5s2*t=s2*(t-30) 4/5s2*t-s2*t=-30*s2 cancel out s2 4/5*t-t=-30 -1/5t=-30 t=150 d=s1*t 160=s1*(5/2h) s1=64 d=s2*t 160=s2(2h) s2=80 64:80 8:10 4:5
phi
  • phi
In this problem you have 3 equations and 3 unknowns. The 3 unknowns are Sc, Sm, and t (speed of the car, speed of the motorcycle, and the time traveled t in hours) the ratio they give tells you \[ \frac{Sc}{Sm}= \frac{4}{5} \]

Looking for something else?

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