A ship traveled 120 km with the current, and then turned around and traveled back, spending 5h and 24 min on its trip. Find the speed of the current if the speed of the ship in still water is 45 km/hour.

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Answer:

5 km/hour

Step-by-step explanation:

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The speed of the current is about 5 km per hour.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the speed of the current. The total time spent = 5h 24 min = 5 h + (24/60) = 5.4 hours

Hence when travelling with the current:

(a + 45)t₁ = 120

t₁ = 120 / (a + 45)

Also, when travelling against the current:

(45 - a)t₂ = 120

t₂ = 120 / (45 - a)

The total time is 5.4 hours

t₁ + t₂ = 5.4 hours

[120 / (a + 45)] + [120 / (45 - a)] = 5.4

a = 5 km/hour

The speed of the current is about 5 km per hour.

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