Question

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.

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

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

Hence:

(a + 45)t₁ = 120

t₁ = 120 / (a + 45)

Also:

(45 - a)t₂ = 120

t₂ = 120 / (45 - a)

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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