Question for PHP Time Calculator Based on Distance

 As pointed out, the problem is that you are not working the minutes out as minutes.

To reduce the main calculation to 1 step, you can add the stops into the time taken by the speed and distance, dividing the total time for the stops (stops * 5) by 60 (to make it into a decimal representing parts of an hour). Then split this into the hours and minutes without need for any further adjustments.

$time = $distance / $speed + ($stops * 5) / 60;
$hours = intval($time);
$minutes = ($time - $hours) * 60;

which with your values, will give

Based on the information given your trip will take 1 hours and 25 minutes.