Question P6 Same time, same distance
Today’s problem — free all day, every step. Every day has one.
At a school fair, Stall A and Stall B both scoop ice-cream cups for customers. Stall A scoops 4 more cups per minute than Stall B. The two stalls start scooping at the same time. After 45 minutes, Stall A closes to restock its tubs, while Stall B carries on scooping alone for another 15 minutes. By the time Stall B stops, both stalls have scooped the same total number of cups. Stall B stopped scooping at 3:15 p.m.
Answer
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Two travellers spend the same time, or cover the same distance.
In this one. Stall A's lead from being 4 cups/min faster for the shared 45 minutes is exactly what Stall B must scoop during its extra 15 minutes.
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.
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