SOLUTION: This question(200898) is in your data base but i am not positive if it is correct. I was told there is a answer. Could somebody else PLEASE look at this problem again and work it t

Question 200936: This question(200898) is in your data base but i am not positive if it is correct. I was told there is a answer. Could somebody else PLEASE look at this problem again and work it to verify if it is correct or wrong. I would really appreciate it..Thanks
Question:
A biker can travel 18 mph with no wind. The same rider can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind. What is the speed of the wind?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let w = speed of the wind (in mph)

First, let's set up the equation involving the trip against the wind:

Start with the distance-rate-time formula

Plug in and (the wind slows him down, so you must subtract "w" from 18)

Divide both sides by .

Rearrange the equation

-----------------------------------

Go back to the distance-rate-time formula

Plug in and (the wind speeds him up, so you must add "w" to 18)

Divide both sides by .

Rearrange the equation

-------------------------------------

Now recall that he "can bicycle 8 mi against the wind in the same time it takes to bicycle 12 miles with the wind". So this means that the times "t" are the same variable. This means that we can plug one equation into another:

Start with the given equation.

Plug in

Cross multiply

Distribute.

Subtract from both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Divide (either use a calculator or long division)

----------------------------------------------------------------------

Answer:

So the solution is which means that the speed of the wind is 3.6 mph.

Note: if you are expecting a whole number for an answer, I would verify that you have the correct problem written down.
RELATED QUESTIONS
Hello I need a little help with my homework. I started trying to work it out but I am... (answered by nerdybill)

[ I am reposting because there was a typo in my email when I posted the previous question (answered by josgarithmetic,math_tutor2020)

this question is long but all of them have some type of connection. I have answer to the... (answered by macston)

I could use a little help with this math question for my ACT prep worksheets I've been... (answered by lwsshak3)

Hello, I am hoping to get some help with Probability. I've been able to answer half of... (answered by jim_thompson5910)

My online assignment is asking me this: Now factor the trinomial: u2 - 29u + 100, and... (answered by jim_thompson5910)

hello again...long time i havent needed help from you but the last time u helped a... (answered by longjonsilver)

Im not sure if the correct catergory this is under is selected but I will try my best to... (answered by checkley71)

This question is not directly related a particular topic in Math. I am looking for advice (answered by rothauserc,MathLover1)