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APMOPS 2009 Question 30

APMOPS · APMOPS 2009

Question 30

Buses travel to and fro between stations A and B, leaving at regular intervals. A bus meets an oncoming bus every 6 minutes. Peter cycles from A to B at the same time Jane cycles from B to A. Peter meets an oncoming bus every 7 minutes and Jane every 8 minutes. They meet each other after 56 minutes. Find the time, in minutes, a bus takes to travel from A to B.