# A geometry problem by Sahil Bansal

**Geometry**Level pending

A jogging park has two identical circular tracks touching each other and a rectangular track enclosing the two circles. The edges of the rectangle are tangential to the circles. Two friends, A & B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track, A jogs along the rectangular track while B jogs along the two circular tracks in a figure of eight. Approximately, how much faster than A does B have to run, so that they take the same time to return to their starting point? (Take pi = 3.1416)

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