Question P6 Same time, same distance
Printing machines
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Two travellers spend the same time, or cover the same distance.
In this one. The head start the faster machine builds up while both are running (6 copies a minute for 70 minutes) is exactly the amount the slower machine still has left to print in its extra 30 minutes — so a difference in rate converts straight into a rate.
Two travellers set off together or one chases another, with constant speeds and a question about who is ahead, when they meet, or how far apart they are.
Children divide the whole distance by the difference in speed instead of dividing the gap between the travellers, or compare distances covered over different lengths of time.
Worked examples of all 33 patterns and skills, in a booklet you can print.