Let's begin by listing out the information given to us:
speed (s) = 190 mph
The timer started his watch afterwards & measured 7 minutes
time (t) = 7 minutes = 7 mins
If the car increased its speed by 15 mph every minute:
acceleration (a) = 15mph/min, we have:
speed (after 7 minutes) = speed + acceleration * time
[tex]\begin{gathered} x(7min)=s+at \\ x(7min)=190+15\cdot7 \\ x(7min)=295mph \end{gathered}[/tex]