self Maths Puzzle

A n B run a race of 1km.if a give b a start of 50m a wins by 14sec.n if a give b a start of 22 sec b wins by 20m.find tym taken by a to cover 1 km?

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self Other Question

There are n bulbs in a circle, each bulb has one switch associated with it, on operating the switch, it toggles the state of the corresponding bulb as well as two bulbs adjacent to that one. Given all bulbs are in off state initially, give a plan to turn all bulbs on finally.

Note: n >= 1. What will be the remainder if 17^200 is divisible by 18?