RPC

Sports

Race Performance Comparison Calculator

Compare two race performances by pace, speed, Riegel-style equivalent time, target-distance projection, and signed time gaps.

Race A distance (km)Race A time (minutes)Race B distance (km)Race B time (minutes)Distance equivalence exponentTarget distance (km)Entered target time (minutes)

Race A pace-

Race B pace-

Race A average speed-

Race B average speed-

Race A equivalent time at B distance-

Race B equivalent at target distance-

Actual B minus A-equivalent B time-

B-based target equivalent minus entered target-

Race B minus Race A pace-

Decision view

Race pace dumbbell and target-time comparison

Race pace dumbbell and target-time comparisonRecorded paces, A-equivalent B time, B target projection, and the entered target marker remain explicitly labeled.

Exact scenario comparisonDistance equivalence exponent changes while all other entered assumptions remain constant.

Distance equivalence exponent	Race A pace	Race B pace	Race A average speed	Race B average speed	Race A equivalent time at B distance	Race B equivalent at target distance	Actual B minus A-equivalent B time	B-based target equivalent minus entered target	Race B minus Race A pace

How to use Race Performance Comparison Calculator

Enter distance and finish time for race A.
Enter distance and finish time for race B.
Choose the equivalence exponent and target distance.
Compare normalized performance, equivalent times, and target gap.

Calculator guide

Understanding Race Performance Comparison Calculator

Race performances at different distances cannot be compared by finish time alone. Pace and speed normalize each result, while an explicit distance-equivalence exponent projects one performance to another distance without hiding the model assumption.

Normalize first Pace and speed make distances comparable.

Exponent is explicit Projection assumptions remain visible.

Signed gaps Negative target gap means projected time is faster.

Comparison is live All markers move with inputs.

Calculation method

How the calculation works

Normalize two race results by pace and speed, then apply one explicit distance-equivalence exponent to compare performances and a selected target distance. Only the entered equivalence exponent drives the projection; recorded pace and speed remain descriptive. Normalize each result by distance, apply T2 = T1(D2/D1)^k with the entered exponent, and compare projected times with actual or target times.

Detailed calculation process

Normalize two races and project equivalent finish times

The defaults compare 5 km in 24 minutes with 10 km in 51 minutes, using exponent 1.06 and a 21.0975 km target with a 115-minute goal.

General formula: pace_i = T_i/D_ispeed_i = 60D_i/T_iT_2,eq = T_1(D_2/D_1)^kT_target,eq = T_B(D_target/D_B)^kDeltaT_B = T_B-T_B,eqDeltaT_target = T_target,eq-T_goal Pace and speed provide direct unit-normalized comparisons. The equivalence formula scales time nonlinearly with distance through the entered exponent, after which signed differences show whether actual or target times are faster or slower.

What each symbol means

D_A, D_B Race distances (km).

T_A, T_B Race finish times (minutes).

pace_i Minutes per kilometre for race i.

speed_i Average kilometres per hour for race i.

k Entered distance-equivalence exponent.

D_target, T_goal Target distance (km) and entered target time (minutes).

DeltaT Signed projected-time comparison (minutes).

Worked substitution with the default inputs

1. Normalize race A pace_A = 24/5 = 4.8 min/km = 4:48/kmspeed_A = 60(5)/24 = 12.5 km/h Both outputs describe the same average performance in inverse units.

2. Normalize race B pace_B = 51/10 = 5.1 min/km = 5:06/kmspeed_B = 60(10)/51 = 11.7647 km/h Race B's average pace is 18 seconds per kilometre slower.

3. Project A to 10 km T_B,eq = 24(10/5)^1.06 = 50.0384 min The entered exponent allows some slowing as distance doubles.

4. Compare actual B with A-equivalent B DeltaT_B = 51-50.0384 = 0.9616 min = 57.7 s Actual B is about 58 seconds slower than the A-based equivalent.

5. Project B to the target and check the goal T_target,eq = 51(21.0975/10)^1.06 = 112.5266 minDeltaT_target = 112.5266-115 = -2.4734 min The projection is about 2 minutes 28 seconds faster than the entered 115-minute goal.

Race A is faster by 18 s/km; its 10 km equivalent is 50:02, while race B projects to about 1:52:32 for 21.0975 km.

Performance comparison

Compare actual and equivalent race times on one target scale

A dumbbell and target marker separate recorded results, distance-equivalent projections, and the entered goal.

Race A actual Five-kilometre performance.

A-equivalent B A projected to B distance.

B target projection B extended to target distance.

Goal marker Entered target time.

Worked situations

Practical examples

Race A pace is 4:48/km.
Race B pace is 5:06/km.
The B-based half-marathon projection is about 112.53 minutes.

Better inputs

Useful tips

Use accurately measured race distances.
Keep the exponent visible when comparing projections.
Compare courses and conditions before interpreting small gaps.

Before relying on the result

Limitations and common mistakes

Distance equivalence is a model, not a performance guarantee.
Terrain, weather, fatigue, training, health, and race tactics are excluded.
One exponent may not fit every athlete or distance pair.

Reference

Key terms

Pace: Time required per kilometre.
Average speed: Distance divided by finish time in hours.
Equivalence exponent: Entered nonlinear scaling factor used to project finish time across distance.
Target gap: Projected target-distance time minus entered goal time.

Important note

Calculated from the entered performance values using the displayed method. Health, fitness, terrain, weather, equipment, and event conditions can change real-world outcomes.

Frequently asked questions

Why is race A faster even though its total time is lower?

Its normalized pace is also faster, so the conclusion is not based on total time alone.

What does exponent 1.06 mean?

It introduces nonlinear slowing as projected distance increases.

Why is the target gap negative?

The B-based projected time is lower, or faster, than the entered goal.

Can I compare miles?

The inputs are kilometres; convert distances consistently first.