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Word problemsArithmeticMiddle schoolabout 1:15

A train goes 60 km/h for 2.5 hours. How far does it travel?: animated lesson

A narrated, step-by-step word problems video lesson with captions. Final answer: Distance = 150 km.

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.5 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
A train goes 60 km/h for 2.5 hours. How far does it travel?
2. Steps, part 1
1. Read the problem
2. Identify the known values
3. $d = r\,t$
  Write the equation
4. Solve for d
3. Steps, part 2
1. Result
4. The answer
$\text{Distance = 150 km}$
d = 150
5. Check
- Substituting d = 150 back into d = r · t balances both sides ✓

Transcript

The problem. Here is the problem: A train goes 60 km/h for 2.5 hours. How far does it travel? Speed 60 km/h, time 2.5 hours; the distance is unknown. Distance equals rate times time; r equals 60, t equals 2.5; solve for d.

Steps, part 1. Read the problem. Speed 60 km/h, time 2.5 hours; the distance is unknown. Identify the known values. Distance equals rate times time. Known: r equals 60, t equals 2.5. Unknown: distance (d). Write the equation. d equals r times t. Solve for d. d equals r times t equals 60 times 2.5.

Steps, part 2. Result. d equals 150.

The answer. So the answer is Distance equals 150 km. Substitute the known values into d equals r times t and isolate d. Keep units consistent (for example miles, miles per hour and hours).

Check. Substituting d equals 150 back into d equals r times t balances both sides, which checks out.

About word problems

Turn everyday situations about prices, speed, ages and interest into equations and solve them.

A train goes 60 km/h for 2.5 hours. How far does it travel?