Time Equal. Uniform Acceleration. Distance = ???

A body starts from rest and is uniformly accelerated for a minute. Distance traveled in first 20 seconds is \({ x }_{ 1 },\) in the next 20 seconds is \({ x }_{ 2 },\) and in the last 20 seconds is \({ x }_{ 3 }.\)

If \({ x }_{ 1 },\) \({ x }_{ 2 }\) and \({ x }_{ 3 }\) are in the ratio \(A:B:C,\) where \(A,B,\) and \(C\) are coprime positive integers, then what is \(A+B+C?\)

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