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one elevator leaves first floor of a building at 9:00 a.m. It takes 5 seconds to travel between floors, stays 10 seconds at each floor and stops at each floor on its way to the top. Another elevator leaves the 12th (top) floor at 9:00 a.m. ; it takes 5 seconds to travel between floors, stays 15 seconds at each floor and stops at each floor on its way to the bottom. On what floor will both elevators be available at the same time?

  • math -

    time floor
    0 1
    0-5 1-2
    5-15 2
    15-20 2-3
    20-30 3
    30-35 3-4
    35-45 4
    45-50 4-5
    50-60 5
    60-65 5-6
    65-75 6
    75-80 6-7
    80-90 7
    90-95 7-8


    0 12
    0-5 11-12
    5-20 11
    20-25 10-11
    25-40 10
    40-45 9-10
    45-60 9
    60-65 8-9
    65-80 8
    80-85 7-8
    85-100 7


    for t 85-90 both are on floor 7

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