Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
A bus was scheduled to travel from Town X to Town Y at constant speed $V$ km/h. If its speed were increased by 20%, it would arrive one hour early. Instead, if it travelled the first 120 km at $V$ km/h and then increased its speed by 25%, it would arrive 0.8 hours early. Find the distance between the towns, in kilometres.
A bus was scheduled to travel from Town X to Town Y at constant speed $V$ km/h. If its speed were increased by 20%, it would arrive one hour early. Instead, if it travelled the first 120 km at $V$ km/h and then increased its speed by 25%, it would arrive 0.8 hours early. Find the distance between the towns, in kilometres.