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Two motorcycles are at the two ends of a road right next to a wall behind them (walls and road are perpendicular. They start heading towards one another in the opposite directions on two straight and parallel lines.Each vehicle has a constant velocity but one is faster. They pass each other at a point 200 meters from the closest wall. They go on to the opposite wall, rest for 30 minutes, and return towards their home wall. This time, they meet at a point 100 meters from the closest wall. How long is the road, i.e. the distance between two walls?

  • math -

    d1 + d2 = L.
    d1 = Distance covered by cyclist #1.
    d2 = Distance covered by cyclist #2.

    d1 = L-200.
    d2 = L-100.

    (L-200) + (L-100) = L.
    L = 300 m. = Length of road.

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