A robot is programmed to move forward F meters and backwards again, say B meters, in a straight line. The Robot covers 1 meter in T units of time. On Robot's path there is an obstacle after distance D from initial position in forward direction. This forward and backward movement is performed repeatedly by the Robot.

Your task is to calculate amount of time taken before the Robot hits the obstacle.




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Robot moves  F meters in F * T units of time.
then Robot moves  B meters backward  in B * T units of time.

So  robot moves  F - B meters in  (F + B) * T units of time.

So robot needs    [ D / (F - B)  ] *  (F + B) * T  units of time to reach the obstacle.
     =  D T * (F - B) / (F + B)

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