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Speed, Distance and Time Calculator

Find speed, distance or travel time from the other two, in any units, with the time also shown in hours, minutes and seconds.

Find

Speed, distance and time are tied together by one formula, so knowing two gives you the third. This calculator solves for whichever you need, in any mix of units, from a physics problem to working out how long a trip will take.

How to Use It

  1. Choose what to Find: Speed, Distance or Time.
  2. Enter the other two values and pick each one’s unit.
  3. Choose the unit for the answer in Answer In.
  4. Press Calculate. A time answer is also written as hours, minutes and seconds.

How It Works

Average speed is distance divided by time:

v=dtv = \frac{\vA{d}}{\vB{t}}

Rearranged, d=vtd = vt and t=dvt = \frac{d}{v}. The calculator converts every value to meters and seconds first, so you can mix units such as miles and minutes.

Worked Example

A train covers 150 km in 2.5 hours:

v=150 km2.5 h=60 km/hv = \frac{150 \text{ km}}{2.5 \text{ h}} = 60 \text{ km/h}

How long does a 5 km run take at 4 m/s? t=5000 m4 m/s=1250 st = \frac{5000 \text{ m}}{4 \text{ m/s}} = 1250 \text{ s}, which is 20 minutes 50 seconds.

Tips and Common Mistakes

  • This is average speed. Stops and slowdowns are included in the total time.
  • Convert minutes properly. 1 hour 30 minutes is 1.5 hours, not 1.3.
  • km/h to m/s: divide by 3.6. And m/s to km/h: multiply by 3.6.
  • Speed isn’t velocity. Velocity includes direction; for a round trip, average velocity is 0 even though average speed isn’t.
  • Keep an eye on the units of the answer. Pick them in Answer In rather than converting by hand.

Frequently Asked Questions

What is the formula for speed?

Speed = distance ÷ time. Rearranged, distance = speed × time and time = distance ÷ speed.

Is this average speed?

Yes. It's the total distance divided by the total time, even if the speed changed along the way.

What's the difference between speed and velocity?

Speed is how fast; velocity is speed in a particular direction. For a straight trip in one direction, the two numbers are the same.

How do I enter 1 hour 30 minutes?

As 1.5 hours or 90 minutes; pick the matching unit. When the calculator finds a time, it also writes it as hours, minutes and seconds.

Can I mix units, like miles and km/h?

Yes. Each value has its own unit, and the calculator converts them before working out the answer.

How do I convert km/h to m/s?

Divide by 3.6: 36 km/h = 10 m/s. Or pick m/s in Answer In.

Sources

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