Unit Conversions · Travel & motion

Relative Speed, Meeting and Catch-Up Calculator

Calculate when and where two travellers meet or when a faster follower catches a leader, including initial separation and an optional delayed start.

Unit Conversions · Travel & motion

Relative Speed, Meeting and Catch-Up Calculator

Private in-browser scenario · explicit units, timing, and boundaries
Relative Speed, Meeting and Catch-Up Calculator — visual relationshipUses the current inputs
Relative Speed, Meeting and Catch-Up CalculatorsameMotion relationship
The visual explains this calculator’s quantity and updates from the entered values. It does not add measurement accuracy or infer missing physical data.
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
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Calculation result

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Understand the model

What is Relative Speed, Meeting and Catch-Up?

Travel arithmetic connects distance, rate, elapsed time, clock time, direction, and reserves. These are related measurements, but each scenario must state which quantities are observed and which are assumed.

Model relative motion explicitly instead of subtracting or adding speeds without accounting for the starting gap and start times.

Use the calculator to normalize compatible units once, preserve the journey scenario, and make time or range assumptions visible.

The relationship

Keep the basis explicit

See the workflow

What the calculator is doing

Worked context

Read the output in context

With B 30 km ahead at 60 km/h and A following at 90 km/h without delay, A catches B after 1 hour and 90 km of A travel.

Interpret with care

Important boundary

An arithmetic arrival, range, or comparison is not live routing, navigation, weather, traffic, fuel planning, or a safety guarantee.

This is an ideal constant-speed, one-dimensional model. It is not overtaking guidance and does not account for roads, collision avoidance, right-of-way, reaction time, traffic, acceleration, or safe separation.

Continue through the Travel & motion collection for related workflows.

Quick guide

How to use this calculator

  1. Choose the real journey or motion relationship first, then enter only the measurements that belong to that mode.
  2. Keep every distance, speed, duration, clock, direction, break, reserve, wind, or current convention explicit; the calculator normalizes compatible units internally.
  3. Use the companion outputs to reconcile the scenario, then retain the stated limits before using an estimate for a real journey.

Calculation method

How the relative speed, meeting and catch-up calculator works

Model relative motion explicitly instead of subtracting or adding speeds without accounting for the starting gap and start times.

At A’s start, same-direction separation adds B’s head-start distance and closing speed is A−B; opposite-direction separation subtracts B’s head-start distance and closing speed is A+B.

Worked example

Relative Speed, Meeting and Catch-Up example

With B 30 km ahead at 60 km/h and A following at 90 km/h without delay, A catches B after 1 hour and 90 km of A travel.

At A’s start, same-direction separation adds B’s head-start distance and closing speed is A−B; opposite-direction separation subtracts B’s head-start distance and closing speed is A+B.

Supported inputs

Precision and limits

Scenario boundary

This is an ideal constant-speed, one-dimensional model. It is not overtaking guidance and does not account for roads, collision avoidance, right-of-way, reaction time, traffic, acceleration, or safe separation.

Precision and time

Calculations retain working precision and round durations to the nearest second and clock outputs to the nearest minute. Entered averages and schedules remain assumptions, not live observations or guarantees.

Category ownership

This calculator handles neutral travel, timing, range, or relative-motion arithmetic. Vehicle operating cost and performance belong in Automotive; competition pacing belongs in Sports; time zones belong in Dates & Times; route geography belongs in Travel & Geography; advanced dynamics belong in Engineering & Science.

Privacy

Entered locations are not requested. Entered values and results stay in this browser and are not sent to analytics or third parties.

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