SOLUTION: Sorry I seem to be really bad at word problems and I can never get how to set them up and I always get thrown off I don't understand how to do this step by step Landon can cli

Question 1008903: Sorry I seem to be really bad at word problems and I can never get how to set them up and I always get thrown off I don't understand how to do this
step by step
Landon can climb a certain hill at a rate that is 0.5mph slower than his rate coming down the hill. If it takes him 2 hours to climb the hill and 110 minutes to come down the hill, what is the rate coming down ?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Distance(d) equals Rate (r) times Time(t) or d=rt; r=d/t and t=d/r
Let r=rate coming down hill
Then r-0.5=rate going up hill
We can't deal in both hours and minutes, sooo:
110 minutes =110/60 or 11/6 hours
Going up the hill:
d(up)=(r-0.5)*2
d(down)=r*(11/6)
We know that d(up)=d(down)
(r-0.5)*2=r*(11/6)
2r-1=11r/6 multiply each side by 6
12r-6=11r
12r-11r=6
r=6 mph
CK
d(up)=(6-0.5)*2=(5.5)*2=11 mi
d(down)=6*(11/6)=11 mi
Hope this helps---ptaylor

RELATED QUESTIONS
Two harvesting machines can each harvest a field in 15 hrs. If they are joined by a newer (answered by ankor@dixie-net.com)

Yesterday I had put 4 problems through that needed to be graphed. I never did get any... (answered by funmath)

I have my ACT and SAT coming up soon. Can anyone help me out with would be good prep for... (answered by richwmiller)

Which numbers in the following set are integers? {-1/14, -97, 22.72, -5, 80} I never (answered by MathLover1)

Sorry I don't know how to type this up. I looked at the guide but still can't get it... (answered by josgarithmetic,math_tutor2020)

What is the value of x? https://i.ibb.co/5FdV518/2.jpg (Sorry I don't know how to... (answered by josgarithmetic,math_tutor2020,greenestamps)

If you could please help me on the steps when using the quadratic equation? I can... (answered by Fombitz)

Can anyone give me about 4 or 5 Word Problems that you use Substitution or Elimination to (answered by ptaylor)

Hello, word problem get me everytime. I never know how to set them up. Ash has... (answered by rfer)