What is this calculator for?
You're training for your first half-marathon. Your last long run was 9 miles in 1:17. You want to know your average pace and project your finish time for the 13.1-mile race. The pace calculator handles the math: distance, time, pace are all interrelated, and given any two, the third follows. Use it for race planning, training pace targets, and converting between minutes-per-mile and minutes-per-kilometer.
Running pace is typically expressed as minutes-per-mile (US standard) or minutes-per-kilometer (international standard). 9:00 min/mile = 5:35 min/km. 7:30 min/mile = 4:39 min/km. 6:00 min/mile = 3:43 min/km (elite-level recreational; sub-3-hour marathoners run at 6:50 min/mile average). Common training paces relative to race pace: easy run pace 60-90 seconds/mile slower than 5K pace; tempo run pace 20-30 seconds/mile slower than 10K pace; intervals at or faster than 5K pace.
This calculator handles three conversions (distance/time β pace, distance/pace β time, pace/time β distance), plus race-time projections from training data, plus pace-band creation for specific race targets (e.g., what splits do you need to hit a 1:45 half-marathon).
How to use this calculator
Pick the calculation type: pace from distance/time, time from distance/pace, or distance from time/pace.
Enter the relevant inputs. Distance in miles or kilometers β the calculator handles common race distances (5K, 10K, half marathon 13.1 mi/21.1 km, marathon 26.2 mi/42.2 km). Time in hours:minutes:seconds (e.g., 1:23:45). Pace in min:sec per mile or per kilometer.
For race time projection: enter a recent race result at any distance, the calculator uses the Riegel formula (T2 = T1 Γ (D2/D1)^1.06) to project performance at other distances. Reasonably accurate for runners with consistent training; less accurate if comparing very different distances (e.g., 5K result projecting to marathon overestimates marathon performance because endurance and pacing are different at long distances).
For pace bands: enter target finish time and race distance. The calculator outputs split times for each mile or kilometer to hit the target.
Understanding your results
The calculator returns the requested unknown (pace, time, or distance) plus useful context: equivalent miles/km, common comparable race paces, age-group context.
Sample calculations. 13.1 miles in 1:55:00 = 8:46/mile pace. Same pace for full marathon = 3:50:30 finish (Riegel-projected, assuming similar training). 5:00 min/mile pace for 5K = 15:32 finish β elite-level. 12:00 min/mile pace for 26.2 miles = 5:14:24 β late-finisher, walk-run pace.
The Riegel formula caveat. Race time projections work well for distances within 2-3Γ of the reference distance. 5K projecting to 10K: accurate. 10K projecting to half-marathon: reasonably accurate. 5K projecting to marathon: overestimates (typically 5-15 minutes too optimistic) because marathon endurance is qualitatively different from 5K speed. The more honest formula for predicting marathon from shorter races requires substantial training-volume context, which a single race result can't capture.
The training-pace recommendations. After determining race pace from a recent race, derive training paces using percentages: easy run 65-75% race pace effort, long run 60-75% race pace effort, tempo 85-92% race pace effort, intervals 95-105% race pace effort. Heart rate zones often substitute for pace zones; a heart-rate monitor + GPS watch combination tracks both.
A worked example
Marcus, 38, just finished his second 10K race in 51:30 β 8:18/mile pace. He's planning to run his first half-marathon in 12 weeks. He wants to know: what's a realistic time goal, what pace should he aim for, and what training paces should he use.
Riegel projection: 10K result 51:30 β half-marathon 1:53:30 (8:39/mile pace). For a first half-marathon with adequate training, this is the upper bound of likely performance β many first-timers run 5-15% slower than the projection due to pacing inexperience and endurance gaps. Conservative target: 2:00:00 (9:09/mile) for first half-marathon; stretch target 1:55:00 (8:46/mile).
He chooses 1:55:00 as his goal. Pace bands: 8:46/mile means each mile in 8:46. For a half-marathon: cumulative times at each mile: mile 1 8:46, mile 2 17:32, mile 3 26:18, mile 5 43:50, mile 7 1:01:22, mile 10 1:27:40, mile 12 1:45:12, mile 13 1:53:58, finish 1:55:00 with 0.1 mile at slight push.
Training pace targets:
Easy runs (most of the week): 65-75% effort Γ 8:46 race pace β 10:30-11:30/mile. Conversational pace. He often goes faster than this; his mistake; easy runs should be genuinely easy.
Tempo runs (1/week, 4-7 miles): 85-92% Γ race pace β 9:15-9:45/mile. Uncomfortable but sustainable for the duration.
Long runs (1/week, 8-14 miles): 70-80% Γ race pace β 10:00-11:00/mile. Builds endurance without exhausting recovery.
Intervals (1/week, 400-1600m repeats): 95-105% Γ race pace β 8:00-9:00/mile. Hard effort with rest between intervals.
Race day: Marcus runs the first 10 miles at 8:42 average β slightly faster than target. He hits the wall at mile 11, slows to 9:30/mile for last 2.1. Final time: 1:56:48. Just outside his stretch goal but well within the realistic range. He learns the pacing lesson β starting at goal pace, not faster, would have produced a finish closer to 1:55. His next race (12 months later) he runs 1:51:15. Steady improvement; the pace-band discipline kicks in.
Related resources
For broader fitness and weight goals, see Calorie Calculator, TDEE Calculator, and Water Intake Calculator (hydration heavily affects running performance). For body composition context, the BMI Calculator and Body Fat Calculator. For sleep quality affecting recovery, the Sleep Calculator. The USA Track & Field publishes race-time standards and qualifying times; McMillan Running publishes detailed training pace calculators favored by coaches.