anonymous
  • anonymous
How do i go about this rational expression problem? Bob and Jack enter a 1000-km bicycle race. Bob cycles 4 km/h faster than Jack, but his bicycle gets a flat tire, which takes 30 minutes to repair. If the both of them finish the race in a tie, then how fast was each boy cycling? Give your answer in one decimal place.
Mathematics
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anonymous
  • anonymous
How do i go about this rational expression problem? Bob and Jack enter a 1000-km bicycle race. Bob cycles 4 km/h faster than Jack, but his bicycle gets a flat tire, which takes 30 minutes to repair. If the both of them finish the race in a tie, then how fast was each boy cycling? Give your answer in one decimal place.
Mathematics
schrodinger
  • schrodinger
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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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anonymous
  • anonymous
assume the velocity for jack=v then velocity for bob=v+4 total time for bob=\[[1000/(4+v)]+0.5\] it has to equal to time for jack=\[1000/v\] after solving the 2 equition, we got v=87.465, and v+4=91.465 for only one decimal v=jack=87.5 km/h v+4=bob=91.5 km/h
anonymous
  • anonymous
How would i go about actually solving that equation though?
anonymous
  • anonymous
\[[1000/(4+v)]+0.5=1000/v\] \[(1000+2+0.5v)/(4+v)=1000/v\] times the button to the other side \[1002v+0.5v^2=4000+1000v\]\[0.5v^2+2v-4000=0\] use the formula v= \[[-b+\sqrt{b^2-4ac}]/2a\]

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