We know that ; Distance = Speed × Time
So, let the speed of Max be = s
Time taken = t minutes
So, at 12 minutes,
Max covers a distance of =
As given, Victoria is 3 times as fast as her brother Max.
So, distance covered by Victoria will be =
After 12 minutes,
Victoria’s hover board broke and she immediately started to run.
Given is when Victoria is on foot, she is 3 times slower than Max on his hover board.
Distance covered by Max =
And distance covered by Victoria =
As given, if the race was a tie:
Total distance of Max = Total distance of Victoria
Solving this we get,
Hence, t=48
So, it lasted from start to finish is 48 minutes.