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CAT 2005 | Question: 04

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A jogging park has two identical circular tracks touching each other, and a rectangular track enclosing the two circles. The edges of the rectangles are tangential to the circles. Two friends, A and B, start jogging simultaneously from the point where one of the circular tracks touches the smaller side of the rectangular track. A jog 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?

  1. $3.88\%$
  2. $4.22\%$
  3. $4.44\%$
  4. $4.72\%$
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