| Official Race Results | |||||||||
| Delaware 500 | Dover Downs International Speedway | |||||||||
| September 17, 1978 | Race 24 of 30 | |||||||||
| Average Speed: 119.323 mph | |||||||||
| Margin of Victory: 19.7 seconds | Time of Race: 04:11:25 | ||||||||
| Lead Changes: 7 | |||||||||
| Cautions: 3 for 18 laps. | |||||||||
| Fin | St | Car | Driver | Make | Sponsor | Pts / Bonus | Laps | Status | Winnings |
| 1 | 2 | #15 | Bobby Allison | Ford | Norris Industries | 185/10 | 500 | Running | $14,600 |
| 2 | 8 | #11 | Cale Yarborough | Oldsmobile | 1st Nat'l City Trav. Cks. | 175/5 | 500 | Running | $12,700 |
| 3 | 6 | #27 | Buddy Baker | Chevrolet | M.C. Anderson | 170/5 | 499 | Running | $7,250 |
| 4 | 5 | #21 | David Pearson | Mercury | Purolator | 160/0 | 498 | Running | $4,000 |
| 5 | 7 | #88 | Darrell Waltrip | Chevrolet | Gatorade | 160/5 | 497 | Running | $6,700 |
| 6 | 14 | #90 | Dick Brooks | Ford | Truxmore | 150/0 | 496 | Running | $4,300 |
| 7 | 12 | #54 | Lennie Pond | Oldsmobile | W.i.n. | 146/0 | 493 | Running | $5,300 |
| 8 | 10 | #2 | Dave Marcis | Chevrolet | Osterlund | 142/0 | 493 | Running | $3,130 |
| 9 | 13 | #1 | Donnie Allison | Oldsmobile | Grog Pond | 138/0 | 489 | Running | $1,800 |
| 10 | 15 | #92 | Dick May | Chevrolet | Duck Industries | 134/0 | 485 | Running | $3,220 |
| 11 | 16 | #25 | Ronnie Thomas * | Chevrolet | Autowize | 130/0 | 483 | Running | $3,560 |
| 12 | 3 | #3 | Richard Childress | Oldsmobile | Crc | 127/0 | 482 | Running | $3,340 |
| 13 | 18 | #48 | Al Holbert | Chevrolet | Southland Industries | 124/0 | 472 | Steering | $2,655 |
| 14 | 27 | #24 | Cecil Gordon | Chevrolet | Transmissions Unlimited | 121/0 | 468 | Running | $2,470 |
| 15 | 29 | #8 | Ed Negre | Dodge | Jones | 118/0 | 467 | Running | $2,285 |
| 16 | 26 | #01 | Earle Canavan | Dodge | Canavan Racing | PE | 460 | Running | $1,200 |
| 17 | 20 | #64 | Tommy Gale | Ford | Sunny King Ford & Honda | 112/0 | 458 | Running | $1,975 |
| 18 | 22 | #17 | Roger Hamby | Chevrolet | Hamby/Ellis Automotive | 109/0 | 457 | Running | $1,050 |
| 19 | 31 | #34 | Nestor Peles | Chevrolet | Peles Racing | 106/0 | 439 | Running | $1,000 |
| 20 | 21 | #4 | Gary Myers | Chevrolet | Native Tan | 103/0 | 438 | Burned Piston | $900 |
| 21 | 32 | #79 | Frank Warren | Dodge | Spencer's Auto Service | 100/0 | 438 | Running | $1,440 |
| 22 | 23 | #67 | Buddy Arrington | Chevrolet | Lafayette Radio | 97/0 | 432 | Running | $1,405 |
| 23 | 30 | #45 | Baxter Price | Chevrolet | Price Racing | 94/0 | 420 | Running | $1,345 |
| 24 | 36 | #09 | Nelson Oswald | Chevrolet | J&S Truck Service | 91/0 | 335 | Burned Piston | $700 |
| 25 | 19 | #30 | Tighe Scott | Chevrolet | Russ Togs | 88/0 | 320 | Cracked Oil Pan | $1,275 |
| 26 | 9 | #72 | Benny Parsons | Chevrolet | 1st Nat'l City Trav. Cks. | 85/0 | 311 | Broken Timing Chain | $4,350 |
| 27 | 11 | #43 | Richard Petty | Chevrolet | STP | 82/0 | 269 | Ignition | $4,525 |
| 28 | 25 | #29 | Dave Dion | Ford | Green Mountain | 79/0 | 238 | Broken Valve | $600 |
| 29 | 4 | #5 | Neil Bonnett | Oldsmobile | Armor All | 76/0 | 220 | Accident | $3,775 |
| 30 | 28 | #97 | Ralph Jones | Ford | Jones | 73/0 | 186 | Engine Failure | $550 |
| 31 | 33 | #19 | Joey Arrington | Dodge | Rossmeyer | 70/0 | 143 | Broken Rear End Housing | $1,040 |
| 32 | 24 | #52 | Jimmy Means | Chevrolet | Means Racing | 67/0 | 140 | Broken Valve | $1,030 |
| 33 | 1 | #70 | J.D. McDuffie | Chevrolet | Bailey Excavating | 69/5 | 80 | Burned Piston | $1,520 |
| 34 | 17 | #18 | James Hylton | Chevrolet | Palatine Automotive | PE | 10 | Quit | $510 |
| 35 | 37 | #35 | Louis Gatto | Chevrolet | L&J Automotive | 58/0 | 5 | Running Too Slow | $500 |
| 36 | 34 | #61 | Ferrel Harris | Chrysler | Jones | PE | 3 | Quit | $490 |
| 37 | 35 | #81 | Jabe Thomas | Chevrolet | Louise Smith | 52/0 | 1 | Quit | $480 |
| * Denotes Rookie | |||||||||