SOLUTION: a cyclist travels 5 miles each way on a bike path travel in one direction is with a 4 mile per hour wind and travel back against a 4 mile per hour wind a. write and simplify a

Question 826462: a cyclist travels 5 miles each way on a bike path travel in one direction is with a 4 mile per hour wind and travel back against a 4 mile per hour wind
a. write and simplify an equation for the amount of time t hours it will take the cyclist to make the trip.

b. what is the cyclist total travel an average of 6 miles per hour without the wind.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Can we do #a without using any of #b ?

r = speed when no wind
c = speed of the wind; c=4

One Direction___________r+4___________t_______________5
OtherDirection__________r-4___________(5/(r-4))_______5
Total Time__________________________t+5/(r-4)

What we also can find is:
One Direction___________r+4___________5/(r+4)_______________5
OtherDirection__________r-4___________(5/(r-4))_______5
Total Time__________________________

Simplifying the total time:

I will leave #b undone here, but if you cannot solve it yourself and still want help, just ask.
RELATED QUESTIONS
when a cyclist travels with the wind, he can travel 16 miles in 2 hours. when the cyclist (answered by Alan3354)

A cyclist travels 1 mile in 3 mninutes with the wind, and travels 1 mile in 4 minutes... (answered by Alan3354)

This is one I got wrong on a test and I want to figure out what I'm not getting. I know... (answered by Paul)

A cyclist takes 5 hours to travel 65 miles while pedaling against the wind. If the speed... (answered by Alan3354)

Please help me solve this problem: A search plane has a cruising speed of 250 miles per... (answered by dabanfield)

1. A search plane has a cruising speed of 250 miles per hour and carries enough fuel for... (answered by ikleyn)

A cyclist bikes 12 miles due west of her house before changing direction. She travels... (answered by venugopalramana)

A cyclist rides his bike at a rate of 20 miles per hour. What is this rate in miles per... (answered by ikleyn)