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Heather swam 5 kilometers against the current in the same amount of time it took her to swim 15 kilometers with the current. The rate of the current was 2 kilometers per hour. How fast would Heather swim if there were no current

Respuesta :

Answer:

4 km per hour

Step-by-step explanation:

Here we will assume the speed of Mary with no current be x km per hour

speed of current= 2 km/h 

[tex]Time = \frac{Distance}{Speed}[/tex]

Distance swam against current= 5km

Time is taken to swam against current=5 ÷ (x - 2)

distance swim with current = 15km

Time is taken to swim with current = 15 ÷ (x + 2)

Now

Given that  if the time taken in both instances are the same,

So, the equation will be

5 ÷ (x - 2) = 15 ÷ (x + 2)

After solving for x we will have

5 ÷ (x + 2) = 15 ÷ (x - 2)

5x + 10 = 15x - 30

10 + 30 = 15x - 5x

40 = 10x

x=40 ÷ 10

= 4 km per hour

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