Which is faster, 60 miles in 5 hours or 84 miles in 7 hours? These free printable worksheets compare two rates given only in words, so the first job is turning each one into a rate per one.
Kid stuck on one? You don’t just get the sheet.
The answer key prints on a separate page.
A rate written in words hides its size on purpose. 84 miles looks like the bigger trip and belongs to the slower car — 12 miles an hour against the other's 15 — and a child who compares the printed numbers picks wrong. Nothing on the page can be compared until both phrases have been turned into the same kind of number, and turning each into a rate per one is the whole of the work here.
Every phrase is a division: the total over how long it took, or the cost over how many. Writing that division down, rather than eyeing the two sentences, is what the standard is after — the same move whether the words say miles per hour, dollars per pound, or pages per night.
One question from this sheet, worked through a step at a time.
A y = 11x, y pages and x days B 12 pages in 6 days