A quick examination of Fast Worker first as well:
Turn 1: 7/75
Turn 2: 14/75
Turn 3: 21/75
Turn 4: 28/75
Turn 5: 35/75
Turn 6: 42/75
Turn 7: 49/75
Turn 8: 55/75
Turn 9: 62/75
Turn 10: 68/75
Turn 11: 74/75
Turn 12: 81/75
12T to finish with our 7HPT max. We can finish Fishing in 6T exactly, as seen, and Agriculture is 46 beakers.
Turn 8: 10/46
Turn 9: 20/46
Turn 10: 30/46
Turn 11: 40/46
Turn 12: 50/46
So we can have Fishing + Agriculture on T12 + The Fast Worker on T12. In exchange, however, we do not have the Fish and we will have to wait longer for food to come online: We can begin farming the same turn we move into it and finish the Farm on T17 (5T for all farms, yes? I can't remember if it changes with each type of grain but I know Wheat is 5T). We presumably either work the Plains Hill into a Worker for longer or just the unimproved Rice. By contrast, if we Work Boat first and work the Fish to grow...
The Fish will be a 6 food tile (2 base + 3 for the Work Boats + 1 extra for Agricultural), it takes 22 food to grow to Size 2, we would begin working it T7.
Turn 7: 6/22
Turn 8: 12/22
Turn 9: 18/22
Turn 10: 24/22
We would grow to Size 2 on Turn 10 (Sadly, working the Rice only puts us at 21/22, so we do not get to grow 1T faster). We would then be able to work the Plains HIll + Fish on a Fast Worker. We would be making 4 FPT (-2 for the Plains Hill making no food and being Size 2) in addition to our previous 7 HPT, so 11 total production per turn on the Fast Worker. This would mean...
Turn 10: 11/75
Turn 11: 22/75
Turn 12: 33/75
Turn 13: 44/75
Turn 14: 55/75
Turn 15: 66/75
Turn 16: 77/75
Getting the Fast Worker on T16, which is one turn before we would finish the Farm if we went Fast Worker first. In essence, Work Boat first trades the Fish for the Farm (A good trade, most likely, because the Fish is a 6/0/2 and the Rice is 5/0/1), in addition to the Capital being Size 2 faster. Another bonus not seen here is that we would be working the Fish with it's 2 commerce the whole time, bumping us to 12 commerce per turn during that time. Let's say our tech path is Agriculture -> Bronze Working after Fishing. We will go Agriculture first here.
Turn 7: 12/46
Turn 8: 24/46
Turn 9: 34/46
Turn 10: 46/46
We finish Agriculture 1T sooner by going Fish first as well, discovering it on T10. Bronze Working's cost is now 174 beakers:
Turn 11: 12/174
Turn 12: 24/174
Turn 13: 36/174
Turn 14: 48/174
Turn 15: 60/174
Turn 16: 72/174 (Worker completes)
Turn 17: 84/174
Turn 18: 96/174
Turn 19: 108/174
Turn 20: 120/174
Turn 21: 133/174 (Worker completes Farm, work Farm for 1 commerce, now 13 CPT)
Turn 22: 146/174
Turn 23: 159/174
Turn 24: 172/174
Turn 25: 185/174
We would finish Bronze Working roughly on T25, most likely on T24 because we would only need to work 3 extra commerce for that and could work, say, the Rice to grow with it's 1 CPT with our second citizen. After that we could then go for Polytheism while our Worker chops out another Fast Worker, go into a Settler (We would be finishing a Warrior sometime between the Worker's finish and the next Worker, possibly have a second semi-built) and The Wheel -> discounted Pottery. This seems pretty good to me. These numbers are probably not exact because I have to do them from memory unlike what I usually do (Which is snag numbers from in game and then it is simple math from there usually). However, i don't see any way Fast Worker first beats Work Boat first anyway, so we should probably micro along Work Boat lines. Feel free to point out my probably atrocious math skills, please: I haven't done hardcore micro in a long time.
Turn 1: 7/75
Turn 2: 14/75
Turn 3: 21/75
Turn 4: 28/75
Turn 5: 35/75
Turn 6: 42/75
Turn 7: 49/75
Turn 8: 55/75
Turn 9: 62/75
Turn 10: 68/75
Turn 11: 74/75
Turn 12: 81/75
12T to finish with our 7HPT max. We can finish Fishing in 6T exactly, as seen, and Agriculture is 46 beakers.
Turn 8: 10/46
Turn 9: 20/46
Turn 10: 30/46
Turn 11: 40/46
Turn 12: 50/46
So we can have Fishing + Agriculture on T12 + The Fast Worker on T12. In exchange, however, we do not have the Fish and we will have to wait longer for food to come online: We can begin farming the same turn we move into it and finish the Farm on T17 (5T for all farms, yes? I can't remember if it changes with each type of grain but I know Wheat is 5T). We presumably either work the Plains Hill into a Worker for longer or just the unimproved Rice. By contrast, if we Work Boat first and work the Fish to grow...
The Fish will be a 6 food tile (2 base + 3 for the Work Boats + 1 extra for Agricultural), it takes 22 food to grow to Size 2, we would begin working it T7.
Turn 7: 6/22
Turn 8: 12/22
Turn 9: 18/22
Turn 10: 24/22
We would grow to Size 2 on Turn 10 (Sadly, working the Rice only puts us at 21/22, so we do not get to grow 1T faster). We would then be able to work the Plains HIll + Fish on a Fast Worker. We would be making 4 FPT (-2 for the Plains Hill making no food and being Size 2) in addition to our previous 7 HPT, so 11 total production per turn on the Fast Worker. This would mean...
Turn 10: 11/75
Turn 11: 22/75
Turn 12: 33/75
Turn 13: 44/75
Turn 14: 55/75
Turn 15: 66/75
Turn 16: 77/75
Getting the Fast Worker on T16, which is one turn before we would finish the Farm if we went Fast Worker first. In essence, Work Boat first trades the Fish for the Farm (A good trade, most likely, because the Fish is a 6/0/2 and the Rice is 5/0/1), in addition to the Capital being Size 2 faster. Another bonus not seen here is that we would be working the Fish with it's 2 commerce the whole time, bumping us to 12 commerce per turn during that time. Let's say our tech path is Agriculture -> Bronze Working after Fishing. We will go Agriculture first here.
Turn 7: 12/46
Turn 8: 24/46
Turn 9: 34/46
Turn 10: 46/46
We finish Agriculture 1T sooner by going Fish first as well, discovering it on T10. Bronze Working's cost is now 174 beakers:
Turn 11: 12/174
Turn 12: 24/174
Turn 13: 36/174
Turn 14: 48/174
Turn 15: 60/174
Turn 16: 72/174 (Worker completes)
Turn 17: 84/174
Turn 18: 96/174
Turn 19: 108/174
Turn 20: 120/174
Turn 21: 133/174 (Worker completes Farm, work Farm for 1 commerce, now 13 CPT)
Turn 22: 146/174
Turn 23: 159/174
Turn 24: 172/174
Turn 25: 185/174
We would finish Bronze Working roughly on T25, most likely on T24 because we would only need to work 3 extra commerce for that and could work, say, the Rice to grow with it's 1 CPT with our second citizen. After that we could then go for Polytheism while our Worker chops out another Fast Worker, go into a Settler (We would be finishing a Warrior sometime between the Worker's finish and the next Worker, possibly have a second semi-built) and The Wheel -> discounted Pottery. This seems pretty good to me. These numbers are probably not exact because I have to do them from memory unlike what I usually do (Which is snag numbers from in game and then it is simple math from there usually). However, i don't see any way Fast Worker first beats Work Boat first anyway, so we should probably micro along Work Boat lines. Feel free to point out my probably atrocious math skills, please: I haven't done hardcore micro in a long time.