Question P6 Same time, same distance
Today’s problem — free all day, every step. Every day has one.
Mei and Lin took part in a cycling race. Mei cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Lin covered of the distance, Mei was 3.5 km in front of her. Mei reached the finishing line at 10.45 a.m. What time did Lin reach the finishing line?
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Two travellers spend the same time, or cover the same distance.
In this one. At constant speeds the gap grows in proportion to how far they have gone, so doubling Lin's distance doubles Mei's lead — and a lead in km becomes a lead in time by dividing by the speed.
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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