MATHalino Launches New Online Courses

This is not a promotional post. This is about my experience in building the platform for online courses.
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Creating an online course is monumental, especially for a small website like MATHalino. Despite being managed by only one person from the ground up, the development of this functionality has been progressing gradually. I have been conceiving this feature for as long as I can remember, even before online courses became common in the Philippines.

What prevented me from implementing it earlier came down to three factors.

k2X6fTJ-0 Situation. A tank is supplied by two pipes A and B and emptied by a third pipe C.

Situation

A tank is supplied by two pipes A and B and emptied by a third pipe C. If the tank is empty and all pipes are opened, the tank can be filled in 20 hours. If the tank is full and A and C are opened, the tank can be emptied in 4 hours. If the tank is full and B and C are opened, the tank can be emptied in 2 hours. Pipe A supplies 50 liters per minute more than B.

dYv94eu-0 Situation. Charles’s law states that for a given mass of gas at constant pressure the volume is directly proportional to its thermodynamic temperature.

Situation

Charles’s law states that for a given mass of gas at constant pressure the volume is directly proportional to its thermodynamic temperature. A gas occupies a volume of 2.25 liters at 400°K. Determine the following: