SOLUTION: At O Haire Airport in Chicago, Cheryl and Will are walking to their gate (at the same Speed) to catch their flight to Akron, Ohio. Since Will want a window seat he steps onto the m

Question 668883: At O Haire Airport in Chicago, Cheryl and Will are walking to their gate (at the same Speed) to catch their flight to Akron, Ohio. Since Will want a window seat he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary sidewalk. if the sidewalk moves at 1 meter per second and Will saves 50 Seconds covering the 300 meter building what is their walking speed
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Since Will want a window seat he steps onto the moving sidewalk and continues to walk while Cheryl uses the stationary sidewalk. if the sidewalk moves at 1 meter per second and Will saves 50 Seconds covering the 300 meter building what is their walking speed
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Note: The assumption seems to be that they walk at the same rate.
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Will's DATA:
rate = 1+x meters/sec ; distance 300 meters ; time = 300/(1+x) seconds
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Cheryl's DATA:
rate = x meters/sec ; distance = 300 meters ; time = 300/x seconds
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Equation:
Cheryl time - Will time = 50 seconds
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300/x - 300/(1+x) = 50
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1/x - 1/(1+x) = 1/6
6(1+x) - 6x = x(1+x)
----
x^2+x-6 = 0
(x+3)(x-2) = 0
Positive solution:
x = 2 meters/sec (Their walking speed)
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Cheers,
Stan H.

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