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APMOPS 2001 Question 27

APMOPS · APMOPS 2001

Question 27

A bus was scheduled to travel from Town X to Town Y at constant speed $V$ km/h. If its speed was increased by 20%, it could arrive 1 hour ahead of schedule. Instead, if it travelled the first 120 km at $V$ km/h and then increased its speed by 25%, it could arrive $\frac45$ hour ahead of schedule. Find the distance between the two towns.