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VTMO 2026 - Grade 7 - Final - SET 5 - Self-study Question 3

VTMO · VTMO 2026 - Grade 7 - Final - SET 5 - Self-study

Question 3

A river flows from $A$ toward $B$. Two motorboats leave $A$ simultaneously, travel to $B$, and immediately return to $A$. On the outward trip, boat 1 has speed $2v$ km/h and boat 2 has speed $v$ km/h; when boat 1 reaches $B$, boat 2 has covered $\frac59 AB$. On the return trip, boat 1 has speed $v$ km/h and boat 2 has speed $2v$ km/h. Their finishing times differ by $3.2$ minutes. How many minutes does each boat take for the round trip?