Speed, distance and time word problems, step by step

Distance is speed multiplied by time.

The question

What is its speed in km per hour?

A cargo ship travels 125 km in 5 hours.
A cargo ship travels 125 km in 5 hours.
numbers:1255
125 ÷ 5
asked:What is its speed in km per hour?
125 ÷ 5 =25
25 km/h
  1. Read it through once. Grabbing the numbers on the first read means choosing an operation before you know the story, and that choice is the only hard part of a word problem.
  2. Now the numbers: 125 and 5. Finding them is not the same as knowing what to do with them — that comes next, and it comes from the story rather than from the numbers.
  3. Distance divided by time is speed — the whole distance split over the hours gives how far you went in one. So this one is a division: 125 ÷ 5.
  4. 125 ÷ 5 = 25 km/h. And answer the question that was ASKED — "What is its speed in km per hour?" — in km/h, because the sum on its own is not yet an answer.

How it works.

  1. 01

    Read it through once. Grabbing the numbers on the first read means choosing an operation before you know the story, and that choice is the only hard part of a word problem.

  2. 02

    Now the numbers: 125 and 5. Finding them is not the same as knowing what to do with them — that comes next, and it comes from the story rather than from the numbers.

  3. 03

    Distance divided by time is speed — the whole distance split over the hours gives how far you went in one. So this one is a division: 125 ÷ 5.

  4. 04

    125 ÷ 5 = 25 km/h. And answer the question that was ASKED — "What is its speed in km per hour?" — in km/h, because the sum on its own is not yet an answer.