safia21
  • safia21
Ryan drives 10mi/h slower than Maya, And it takes ryan 1 hour longer to travel 300 miles. How long does it take Maya to make a trip
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.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
sandra
  • sandra
I'll let amistre get this :p
sandra
  • sandra
well, you need two equations and two variables to be able to solve this
sandra
  • sandra
one variable is the time it takes Maya to take the trip, and one variable is the time it takes ryan to take the trip

Looking for something else?

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

More answers

safia21
  • safia21
I got 300(x)= 300(x-1) + 10x(x-1)
sandra
  • sandra
well, actually, let's make the two variables the speed of each person - then we can easily solve for how long it takes maya to drive 300 miles. So: 1. R = M - 10 2. 300/R - 300/M = 1
anonymous
  • anonymous
i think i have an answer.
sandra
  • sandra
what did you get?
anonymous
  • anonymous
i got 60 but it was kind of a pain the way i did it. maybe an easier way.
anonymous
  • anonymous
i used maya's rate as r, ryan's as r - 10 and then \[\frac{300}{r}=\frac{300}{r-10}+1\]
anonymous
  • anonymous
that is ryan's time is one hour more than maya's.
sandra
  • sandra
right. yeah that makes sense
safia21
  • safia21
sorry but i do not understand
anonymous
  • anonymous
i made a mistake somewhere i am trying again.
anonymous
  • anonymous
first of all the answer: ryan travels at 50 mpr and maya at 60. it is easy to check: \[d=rt\] \[t=\frac{d}{r}\] if maya travels 300 miles at 60 miles an hour she makes the trip in \[\frac{300}{60}=5\] hours while ryan takes \[\frac{300}{50}=6\] hours or one hour longer. so this is the correct answer.
safia21
  • safia21
O i understand thank you!
anonymous
  • anonymous
well i got the correct answer, but i am trying to find the right algebra to solve it for you.
anonymous
  • anonymous
whew finally. ok here goes. ready?
safia21
  • safia21
yes!
anonymous
  • anonymous
ok we use \[t=\frac{d}{r}\] and we know that ryans rate is r-10 and his maya's time is one less than ryan's. Maya's time is \[\frac{300}{r}\] and ryan's is \[\frac{300}{r-10}\] and \[\frac{300}{r}-1=\frac{300}{r-10}\]
anonymous
  • anonymous
that says maya's time is one less than ryans. to solve for r, easiest to subtract first on the left hand side: \[\frac{300-r}{r}=\frac{300}{r-10}\] now cross multiply: \[(r-10)(300-r)=300r\] mutiply out \[300r-3000-r^2+10r=300r\] subtract 300r \[-3000 -r^2+10r=0\]
anonymous
  • anonymous
damn
anonymous
  • anonymous
thought i had \[(r-60)(r+50)=0\] so r = 60 but i seem to have made another mistake somewhere. i will try to find it.
anonymous
  • anonymous
oh lord. i put the one on the wrong side! should have been \[\frac{300}{r}+1=\frac{300}{r-10}\]
anonymous
  • anonymous
maya's time plus one gives ryans time. ok now. \[\frac{300+r}{r}=\frac{300}{r-10}\] \[(300+r)(r-10)=300r\] \[300r -3000+r^2-10r=300r\] \[r^2-10r-300=0\] \[(r-60)(r+50)=0\] \[r=60\] or \[r=-50\] which makes no sense in this problem so \[r=60\] sorry it took a while.
safia21
  • safia21
its okay and thanks again
anonymous
  • anonymous
sorry i made a mistake originally. hope it was not too confusing.
safia21
  • safia21
it wasnt thanks

Looking for something else?

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