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When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 48 s to walk from your gate to baggage claim. When it is working and you stand on the moving sidewalk the entire way, without walking, it takes 89 s to travel the same distance.
Q : how long will it take you to travel from the gate tobaggage claim if you walk while riding on the movingsidewalk?

Respuesta :

boffeemadrid

Answer:

31.182 seconds

Explanation:

s = Distance

Velocity = Distance/Time

Velocity of person is

[tex]v=\frac{s}{48}[/tex]

Velocity of sidewalk is

[tex]v_s=\frac{s}{89}[/tex]

When the person is walking along the direction of the sidewalk the combined velocity will be

[tex]v_c=v+v_s=\dfrac{s}{48}+\dfrac{s}{89}\\\Rightarrow v_c=s\dfrac{137}{4272}\\\Rightarrow v_c=\dfrac{s}{\frac{4272}{137}}\\\Rightarrow v_c=\dfrac{s}{31.182}[/tex]

So, the time taken is 31.182 seconds

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