The two players will cross at a point where the sum of the distances covered by them equals 360 ft.

 

Accordingly t4 +54t2 = 360, Or  t4 +54t2 -360=0

 

On factorization,  it is (t2+60)(t2 -6)=0

 

        This gives t2 = -60, or 6

 

Reject t2 = -60 as not feasible,  Real value is  t2 = 6

 

                                                                  Or, t= √6 seconds

                                                                 

                                                                         t= 2.45 seconds approx

 

At this point of time the first player would have covered a distance of t4 = 36 ft and the other player  would have  covered 54t2 = 54(6) = 324 ft

 

As the first player is running clockwise, the two players would meet at a point between Home Plate and the third base.

 

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