Quick Answer
Use speed = distance ÷ time, distance = speed × time and time = distance ÷ speed, with matching units. For example, 120 km in 2 hours is 60 km/h; 350 km at 80 km/h takes 4.375 hours, i.e. 4 h 22 min 30 s. To convert km/h to m/s multiply by 5/18, so 72 km/h = 20 m/s.
Speed, Distance and Time — Solve Any One in Seconds
Speed, distance and time are tied together by one simple relationship, yet they trip people up constantly — in school maths, in competitive exams, while planning a road trip, or when a runner wants to know what pace a target time needs. The difficulty is rarely the formula itself; it is the units. Kilometres and metres, hours and minutes, km/h and m/s, miles and knots all get mixed up, and one wrong conversion ruins the answer.
This free speed distance time calculator handles the units for you. Choose what you want to find — speed, distance or time — enter the other two in whatever units you have, and it gives the answer immediately. It also shows the same result in every other unit at once: speed in km/h, m/s, mph and knots; distance in km, metres and miles; time in hours-minutes-seconds, decimal hours and minutes; and the pace per kilometre and per mile. Everything runs in your browser.
How to Use the Calculator
- Choose what to find. Tap Find speed, Find distance or Find time. The box for that value disappears, and the other two stay.
- Enter distance with its unit — kilometres, metres, miles or nautical miles.
- Enter speed with its unit — km/h, m/s, mph or knots.
- Enter time as hours, minutes and seconds. You don't need to convert: 1 hour 45 minutes can be entered as 1 and 45, or as 0 and 105.
- Read the answer in the big result, and look at the table for every other unit and the pace.
The Three Formulas
All three are one equation rearranged:
- Speed = Distance ÷ Time
- Distance = Speed × Time
- Time = Distance ÷ Speed
Students often remember it as a triangle with D on top and S and T below: cover the one you want, and what remains shows the operation. The catch is consistency — if distance is in kilometres and time in hours, speed comes out in km/h; if distance is in metres and time in seconds, speed is in m/s. Internally, the calculator converts everything to metres and seconds, solves, and converts back, so mixed units never cause errors.
Unit conversions used
| Unit | Exact value |
|---|---|
| 1 kilometre | 1,000 m |
| 1 mile | 1,609.344 m |
| 1 nautical mile | 1,852 m |
| 1 km/h | 5/18 m/s ≈ 0.2778 m/s |
| 1 mph | 0.44704 m/s ≈ 1.609 km/h |
| 1 knot | 1,852 m per hour ≈ 0.5144 m/s |
Worked Examples
Example 1: finding speed
A bus covers 120 km in 2 hours. Speed = 120 ÷ 2 = 60 km/h, which is 16.67 m/s or about 37.28 mph.
Example 2: finding travel time
You plan to drive 350 km and expect to average 80 km/h. Time = 350 ÷ 80 = 4.375 hours. The 0.375 hour is 0.375 × 60 = 22.5 minutes, so the answer is 4 h 22 min 30 s. Add time for meals, fuel and traffic separately.
Example 3: finding distance
A train runs at 72 km/h for 2 hours 30 minutes. Distance = 72 × 2.5 = 180 km.
Example 4: converting km/h to m/s
72 km/h × 5/18 = 20 m/s. In the other direction, 20 m/s × 18/5 = 72 km/h. This conversion is essential for physics problems, which use SI units.
Example 5: a sprinter's average speed
Usain Bolt's 100 m world record of 9.58 seconds is an average of 100 ÷ 9.58 ≈ 10.44 m/s, or about 37.6 km/h. His top speed during the race was higher, because the start is slow.
Average Speed: the Most Common Mistake
When a journey has parts at different speeds, the average speed is total distance divided by total time, not the average of the speeds. Suppose you drive 60 km to a town at 30 km/h and come back the same 60 km at 60 km/h. The first leg takes 2 hours and the return 1 hour, so 120 km takes 3 hours and the average speed is 40 km/h. Averaging 30 and 60 gives 45, which is wrong because you spent more time at the slower speed. For two equal distances, the correct average is the harmonic mean: 2 × 30 × 60 ÷ (30 + 60) = 40 km/h.
To use the calculator for a multi-part trip, add up all the distances, add up all the times (including stops if you want overall average), and use Find speed.
Speed, Distance and Time in Competitive Exams
Questions on time and distance appear regularly in bank, SSC, railway and other aptitude tests. A few patterns cover most of them:
- Train passing a pole or a person: the distance is the train's own length. A 150 m train at 54 km/h (15 m/s) passes a pole in 150 ÷ 15 = 10 seconds.
- Train passing a platform or bridge: the distance is train length plus platform length. The same train passing a 300 m platform covers 450 m and takes 30 seconds.
- Relative speed: objects moving towards each other close the gap at the sum of their speeds; in the same direction, at the difference.
- Boats and streams: downstream speed = boat speed + stream speed, upstream = boat speed − stream speed.
The calculator is ideal for checking your answers: convert speeds to m/s with it, then confirm the time or distance you worked out by hand.
Running Pace and Fitness
Runners and walkers think in pace — minutes per kilometre — rather than speed. Pace is simply the inverse of speed. At 10 km/h, each kilometre takes 6 minutes; at 12 km/h, 5 minutes. The calculator shows pace per km and per mile under every result. To find the pace for a goal, choose Find speed, enter the race distance (for example 10 km or 21.0975 km for a half marathon) and the target time; the pace row tells you how fast each kilometre must be. To predict a finish time, enter your usual speed and use Find time.
Planning Real Journeys
The formula assumes constant speed. Real trips rarely run that way: city traffic, toll plazas, ghat sections, construction and rest breaks all lower the average. A practical approach is to use a realistic average rather than your highway cruising speed, then add fixed time for stops. Pair it with our fuel cost calculator to estimate the cost of the trip, and our time calculator to add the travel time to your start time. Always follow posted speed limits — this tool is for planning, not for targets on the road.
Speed vs Velocity, and Other Things Teachers Ask
In everyday language speed and velocity mean the same thing, but physics separates them. Speed is a scalar: it tells you how fast something moves, with no direction. Velocity is a vector: it includes direction. If you run one full lap of a 400 m track in 80 seconds, your average speed is 400 ÷ 80 = 5 m/s, but your average velocity is zero, because you finished where you started. This calculator works with speed and distance travelled, which is what travel planning, sports and most aptitude questions need.
Two more points help in school problems. First, uniform speed means the same distance is covered in every equal interval of time; real motion is usually non-uniform, so the formula gives an average. Second, always write the unit with the answer — "20" alone could be m/s or km/h, and the two differ by a factor of 3.6. Writing units at every step is the simplest way to catch conversion mistakes before they cost marks.
Why Units Matter So Much
Many wrong answers come from forgetting to convert minutes into hours. 30 km in 45 minutes is not 30 ÷ 45 km/h; 45 minutes is 0.75 hours, so the speed is 40 km/h. Similarly, mixing miles and kilometres can make a journey seem 60% longer or shorter than it is. By letting you enter each quantity in its own natural unit, the calculator removes this whole class of error. For other conversions — length, weight, temperature and more — use our unit converter.
Speed Distance Time Calculator — Key Facts
| Speed | Distance ÷ Time |
|---|---|
| Distance | Speed × Time |
| Time | Distance ÷ Speed |
| km/h → m/s | × 5/18 |
| 1 mile | 1.609344 km |
| 1 knot | 1.852 km/h |
Frequently Asked Questions
What is the formula for speed, distance and time?
Speed = Distance ÷ Time. Rearranged, Distance = Speed × Time and Time = Distance ÷ Speed. Units must match — km with hours gives km/h, metres with seconds gives m/s.
How do I calculate travel time?
Divide the distance by the speed. 350 km at 80 km/h = 4.375 hours = 4 hours 22 minutes 30 seconds. Add time for stops and traffic separately.
How do I convert km/h to m/s?
Multiply by 1000/3600, which is 5/18. So 90 km/h = 25 m/s. To go from m/s to km/h, multiply by 18/5 (3.6).
How do I find average speed for a round trip?
Divide total distance by total time — don't average the two speeds. 60 km at 30 km/h (2 h) and 60 km back at 60 km/h (1 h) gives 120 km ÷ 3 h = 40 km/h, not 45.
What is pace?
Pace is time per unit distance — the inverse of speed. Runners use minutes per km: 10 km/h equals a pace of 6 minutes per km.
What is a knot?
A knot is one nautical mile per hour. A nautical mile is exactly 1,852 m, so 1 knot = 1.852 km/h. Ships and aircraft use knots.
How many km is a mile?
1 mile is exactly 1.609344 km, so 60 mph ≈ 96.56 km/h.
How do I enter 1 hour 45 minutes?
Enter 1 in Hours and 45 in Minutes. You can also enter 105 minutes with 0 hours — the calculator adds them up.
How do I solve train questions for exams?
Convert the speed to m/s (× 5/18). A 150 m train at 54 km/h (15 m/s) passes a pole in 150 ÷ 15 = 10 s. Passing a platform, add the platform length to the distance.
Why does my real journey take longer?
The formula gives moving time at a constant speed. Real trips include traffic, stops, slow sections and breaks, so the average speed is usually lower than your cruising speed.
Can I use it for walking and running?
Yes. Enter the distance and your finish time to get speed and pace per km and mile, or enter a target pace as a speed to estimate finish time.
Is it free?
Yes, free and it works offline in your browser.
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