Two cars start 300 km apart and drive towards each other at 60 and 40 km/h. After how many hours do they meet?
Together they close the gap at 60 plus 40, which is 100 km/h.
The gap is 300 km.
So they meet after 3 hours.
The answer is 3 hours.
Where students go wrong
Using one traveler’s speed for a problem with two. When both are moving the gap closes at the sum of the speeds if they approach and the difference if they chase, and picking the wrong one puts the answer out by a factor.
Also called uniform motion problems, rate problems, upstream and downstream, two trains problems or speed distance time.
Questions about these worksheets
Yes. Every distance, rate and time word problems sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the distance, rate and time word problems questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
Using one traveler’s speed for a problem with two. When both are moving the gap closes at the sum of the speeds if they approach and the difference if they chase, and picking the wrong one puts the answer out by a factor.