SOLUTION: I previously asked this same question but the person who answer'd did not make sense, So i'm asking again but please explain clearly. my question is, Isabella rode her bike at a

Question 811420: I previously asked this same question but the person who answer'd did not make sense, So i'm asking again but please explain clearly.
my question is, Isabella rode her bike at a constant speed, she took 2 hours to travel 216km with the wind behind her. The return trip took her 3hours to ride into the wind.
A) Let s represent the speed of the motorcycle and w respresent the speed of the wind. Write a linear system to represent this situation.
B)Find the speed of the motorcycle and the speed of the wind.
Thanks for your help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Isabella rode her bike at a constant speed, she took 2 hours to travel 216km with the wind behind her.
The return trip took her 3hours to ride into the wind.
A) Let s represent the speed of the motorcycle and w represent the speed of the wind.
Write a linear system to represent this situation.
A distance equation for each way; (dist = time * speed)
2(s+w) = 216
3(s-w) = 216
:
B)Find the speed of the motorcycle and the speed of the wind.
Simplify both these equations, divide the 1st by 2; divide the 2nd by 3
s + w = 108
s - w = 72
-------------Adding eliminates w, find s
2s = 180
s = 180/2
s = 90 km/hr, must be a jet-bike!
Find the wind
90 + w = 108
w = 108 - 90
w = 18 km/hr is the wind
:
:
Check the solutions in the original equations
2(90+18) = 216
and
3(90-18) = 216
:
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