A traveler is walking on a moving walkway in an airport. the traveler must walk back on the walkway

Discussion in 'Calculator Requests' started by math_celebrity, Mar 21, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A traveler is walking on a moving walkway in an airport. the traveler must walk back on the walkway to get a bag he forgot. the traveler's ground speed is 2 ft/s against the walkway and 6 ft/s with the walkway. what is the traveler's speed off the walkway? What is the speed of the moving walkway.

    We have two equations, where w is the speed of the walkway and t is the speed of the traveler.
    1. t - w = 2
    2. t + w = 6
    3. Rearrange (1) to solve for t: t = w + 2

    Now plug (3) into (2)
    (w + 2) + w = 6

    Combine like terms:
    2w + 2 = 6

    Using our equation solver, we get w = 2

    Plug this into (1)
    t - 2 = 2

    Add 2 to each side
    t = 4
     

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