My daughter has a 2001 Honda Accord - 4 cylinder stick shift.

There are no fault lights on the dashboard.

After running about 15 minutes on the highway, the accelerator becomes unresponsive and then it stalls.
I can restart the engine but then it normally stalls much sooner.

If I let it cool about 1 hour, I can start and drive about 10-15 minutes and the process repeats.

please advise where to start

 

Check for engine codes. Use a scanner if you have one, or stop by a parts store to get the codes. Post the actual code(s) on here and not the descriptions. They start with the letter P and have four numbers, like P1234.

Also, did you have any recent work done to the car not long before you noticed the stalling? Any chance you filled the tank with gas right before the stalling happened?