Respuesta :
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 = [tex]12\times s=12s[/tex]
As given, Victoria is 3 times as fast as her brother Max.
So, distance covered by Victoria will be = [tex]12\times s\times3=36s[/tex]
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 = [tex]s\times(t-12)=(t-12)s[/tex]
And distance covered by Victoria = [tex]\frac{s}{3} \times(t-12)[/tex]
As given, if the race was a tie:
Total distance of Max = Total distance of Victoria
[tex]12s+(t-12)s=36s+\frac{s(t-12)}{3}[/tex]
Solving this we get,
[tex]3t=96+t[/tex]
[tex]2t=96[/tex]
Hence, t=48
So, it lasted from start to finish is 48 minutes.
