Speed, Distance & Time

Calculating rates using D = S × T and unit conversions

Explanation

The Core Formula

Distance = Speed × Time

Rearrange for any unknown:

  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed

Tip: cover the unknown in the triangle to read the formula — Distance on top, Speed and Time on the bottom.

Units Must Match

DistanceSpeedTime
kmkm/hhours
mm/sseconds

Always convert time to hours when speed is in km/h:

  • 30 min = 0.5 h  |  15 min = 0.25 h  |  45 min = 0.75 h  |  90 min = 1.5 h

Worked Examples

Example 1: A car travels at 60 km/h for 2.5 hours. How far?
D = 60 × 2.5 = 150 km

Example 2: A cyclist rides 45 km at 15 km/h. How long?
T = 45 ÷ 15 = 3 hours

Example 3: A runner covers 400 m in 50 seconds. What is their speed?
S = 400 ÷ 50 = 8 m/s

Multi-Stage Journeys & Key Tips

Calculate each leg separately, then add times or distances.

Example: Drive 60 km at 40 km/h, then 60 km at 60 km/h.
T₁ = 60 ÷ 40 = 1.5 h  |  T₂ = 60 ÷ 60 = 1 h  |  Total = 2.5 hours

Key Tips

  • Always check that distance, speed, and time units are consistent before calculating
  • Average speed = total distance ÷ total time — do NOT average the two speeds directly
  • Draw a timeline for complex journeys involving stops or direction changes
  • Convert mixed time (e.g., 1 hr 30 min = 1.5 hr) before using the formula

Sample Practice Questions

  1. A car travels at 60 km/h for 2 hours. How far does it travel?

    • 30 km
    • 62 km
    • 120 km
    • 100 km
    Show answer

    Answer: 120 km

  2. A train travels 360 km in 4 hours. What is its average speed?

    • 80 km/h
    • 90 km/h
    • 100 km/h
    • 120 km/h
    Show answer

    Answer: 90 km/h

  3. A plane flies at 800 km/h for 2.5 hours. How far does it travel?

    • 1600 km
    • 1800 km
    • 2000 km
    • 2200 km
    Show answer

    Answer: 2000 km

  4. A runner covers 800 m in 200 seconds. What is their speed in m/s?

    • 2 m/s
    • 3 m/s
    • 4 m/s
    • 5 m/s
    Show answer

    Answer: 4 m/s

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Practice Questions

Test your knowledge of Speed, Distance & Time with a timed quiz. Answers are revealed at the end.

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Frequently Asked Questions

What does Speed, Distance & Time cover in the Selective Entry Numerical Reasoning exam?

Calculating rates using D = S × T and unit conversions.

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