Measurement of Time and Motion – Case-based Questions with Answers
Measurement of Time and Motion — 20 Case-Based Questions (NCERT-aligned)
- Speed = Distance / Time (s = d / t)
- Distance = Speed × Time (d = s × t)
- Time = Distance / Speed (t = d / s)
- Unit conversions: 1 h = 3600 s; km/h → m/s multiply by 5/18; m/s → km/h multiply by 18/5.
Case 1 — Morning Walk
Riya walks 3 km from home to the park in 30 minutes. She stops there for 10 minutes and then walks back home taking 24 minutes.
Case 2 — School Bus
A school bus covers 40 km from the depot to school in 1 hour, then continues to a picnic spot 60 km further in 2 hours.
Case 3 — Runner's Lap
A runner completes one lap of 400 m in 50 s, then another lap in 45 s.
Case 4 — Bicyclist's Journey
Sam cycles 12 km in 0.5 hours, takes a break, then cycles 18 km in 1 hour.
Case 5 — Car and Traffic
A car moves at 60 km/h on highway for 2 hours then at 30 km/h in city traffic for 1 hour.
Case 6 — Walking Experiment
Students measure time for a friend to walk 20 m three times: 18 s, 20 s, 19 s.
Case 7 — Toy Car on Track
A toy car moves at steady 0.5 m/s and completes a 12 m track.
Case 8 — Train Schedule
A train covers 360 km in 4 hours. Scheduled stop adds 30 minutes but distance same.
Case 9 — Runner with Rest
A runner completes 10 km in 50 min but includes a 5 min rest.
Case 10 — Ferry Crossing
A ferry crosses a 2 km river in 20 min. Passengers note calm water conditions.
Case 11 — Cycling Race
In a race, A covers 24 km in 1 h, B covers 36 km in 1.5 h, C covers 48 km in 2 h.
Case 12 — School Field Trip
A bus travels 180 km. For first 2 hours it averages 60 km/h; remaining distance is covered at 40 km/h.
Case 13 — Backyard Experiment
A child times a rolling ball over 2 m: trial times 1.2 s, 1.3 s, 1.1 s.
Case 14 — Dog Walk
A person walks a dog 4 km at 5 km/h, then the dog runs back and forth additional 1 km while person stands for 12 minutes.
Case 15 — Delivery Route
A delivery person covers 10 km, stops 10 minutes, then covers 20 km. Driving speed 40 km/h.
Case 16 — Morning Commute
A student cycles 6 km to school at 12 km/h and returns home at 8 km/h due to tiredness.
Case 17 — Night Travel
A driver travels 150 km at constant 75 km/h at night with minimal stops.
Case 18 — Boating
A rowboat moves at 2 m/s in still water; current assists at 0.5 m/s downstream.
Case 19 — Park Jogging
A jogger runs 5 km over 30 minutes including short rests; net running time 26 minutes.
Case 20 — Final Revision Scenario
A student drives to tuition 18 km away taking 30 minutes and returns by bus covering same distance in 45 minutes.
