Car won't start after it runs for about 10 minutes

While it will not start, test for ignition spark from spark plug wire.. You'll need a helper to crank the engine for you... That'll narrow it down a BUNCH!

Do I use something metal inside the spark plug wire while touch a ground to see a spark?

That'll work! .. Don't actually 'touch' a ground ... Just hold the metal insert about 1/4 inch from a metal ground somewhere on the engine and while engine is cranking... Should see spark! .. # 2 Phillips screwdriver works well for the test.. Make sure the handle is in good shape so you don't get a jolt.. It really won't hurt you but you'll get a surprise. .. You will also know it's getting spark though!

Since the alternator is close that should be a good ground?

Yep, any metal part of the engine will do.

No spark should be more than likely the distributor?

Pick-up plate inside the distributor is suspect... Good luck !

Thanks pushrod 1st thing in the morning I'll check it out

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Well I have a spark. Any other possibilities