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    On a one-way road, to demarcate 4 lanes, line segments of 3.5 m length are painted with gaps of 3.5 m along the length of the road. What is the total
    Question

    On a one-way road, to demarcate 4 lanes, line segments of 3.5 m length are painted with gaps of 3.5 m along the length of the road. What is the total length of the painted lines (in m) over a 350 m stretch of the road?

    A.

    300

    B.

    400

    C.

    525

    D.

    700

    Correct option is C

    Solution:

    The length of the road = 350 m

    Each cycle consists of a painted line of 3.5 m and a gap of 3.5 m.

    Therefore, the length of one full cycle is 3.5 m + 3.5 m = 7 m

    Therefore, number of cycles = 350 / 7 = 50 cycles

    Since, each cycle has a painted line of 3.5 m, and there are three painted lines on the road to make 4 lane.

    Total painted line length = 50 × 3.5 × 3 = 150 × 3.5 = 525

    Thus, the total length of the painted lines over the 350 m stretch of road is 525 meters.

    Hence Option (c) is correct.

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