The speed of the current if the speed of the ship in still water is 45 km/hour is:5 km/hour.
Speed
Speed= x
Time spent = 5hours 24 min
Time spent= 5 hours + (24/60)
Time spent= 5.4 hours
Travelling at the current Speed:
(a + 45)t₁ = 120
t₁ = 120 / (a + 45)
Travelling against the current speed:
(45 - a)t₂ = 120
t₂ = 120 / (45 - a)
Hence:
Speed=[120 / (a + 45)] + [120 / (45 - a)]
Speed=2.7+2.7
Speed = 5.4 km/hour
Speed=5 km/hour (Approximately)
Therefore the speed of the current is 5 km per hour.
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