Sec 1 rate and speed: keep the units

A speed answer is a distance per unit of time. Keep the requested unit in view before dividing.

What this guide covers

Selected Sec 1 N4 skills: average speed, rate and unit conversion. Graph-based or longer journey analysis belongs in later practice.

Total distance over total time

Average speed = total distance ÷ total time. Convert minutes to hours for kmh or to seconds for ms. A unit is part of the answer, not a decoration.

Convert time before dividing

A rider travels 1.8 km in 6 minutes. Find the average speed in kmh and ms.

  1. Six minutes is 0.1 hour, so speed =1.8÷0.1=18 kmh.
  2. Also 1.8 km=1800 m and 6 minutes=360 s, so speed =1800÷360=5 ms.

Check: 18 kmh and 5 ms describe the same speed in different units.

Try it yourself

Work on paper, then compare the steps. These checks do not establish mastery.

A runner covers 540 m in 90 s. Find the average speed in ms.

Average speed =540÷90=6 ms. Distance and time are already in the required units.

A bus covers 12 km in 20 minutes and another 18 km in 40 minutes, without stopping. Find its average speed for the full journey in kmh.

Total distance =30 km; total time =60 minutes =1 hour. Average speed =30÷1=30 kmh. The leg speeds are 36 and 27 kmh; their unweighted mean, 31.5 kmh, is not the journey average.

Where this connects

Sources and scope

Original Mentora examples and checks aligned to Sec 1 N4 in the MOE G2/G3 Mathematics syllabus. No school-paper item or graphic was copied.

MOE G2 and G3 Mathematics syllabuses ↗