when the moving sidewalk at the airport is broken, as it oftenseems to be , it t

Question

when the moving sidewalk at the airport is broken, as it oftenseems to be , it takes you 50sec to walk from your gate to baggageclaim. when it is working and you stand on the moving sidewalk theentire way, without walking, it takes you 75sec to travel thesame distance. Q : how long will it take you to travel from the gate tobaggage claim if you walk while riding on the movingsidewalk? when the moving sidewalk at the airport is broken, as it oftenseems to be , it takes you 50sec to walk from your gate to baggageclaim. when it is working and you stand on the moving sidewalk theentire way, without walking, it takes you 75sec to travel thesame distance. Q : how long will it take you to travel from the gate tobaggage claim if you walk while riding on the movingsidewalk?

Explanation / Answer

let v1 and v2 be the velovity of walking and sidewalk let d be the distance need to travel => we have :
time to walking : t1 = d/v1   => v1 = d/t1 time to use sidewalk without walking : t2 = d/v2 =>v2 =d/t2 => time for use sidewalk and walking :
t = d/(v1+v2) =d/(d/t1 +d/t2) =t1*t2/(t1+t2) = 50*75/(50+75)=30 s

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