4 years ago

Help plz??????????????????????????????

Mathematics

1 answer:

Juliette [100K]4 years ago

8 0

I would go with -15 that’s what I came up with

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A motorboat can maintain a constant speed of 15 miles per hour relative to the water. The boat makes trip upstream to a certain

Ira Lisetskai [31]

Answer:

The speed of the current is 2 miles per hours

Step-by-step explanation:

Given as :

The speed of motorboat = x = 15 miles per hour

The time taken by motorboat trip upstream = 51 minutes

The time taken by motorboat trip downstream = 39 minutes

Let The speed of the current = y miles per hour

Let The total distance cover = A miles

So ,

Speed = $\dfrac{\textrm Distance}{\textrm Time}$

So, x - y = $\dfrac{A}{51}$

I.e 15 - y = $\dfrac{A}{51}$

And x + y = $\dfrac{A}{39}$

I.e 15 + y = $\dfrac{A}{39}$

$\dfrac{x-y}{x+y}$ = $\dfrac{39}{51}$

I.e $\dfrac{x-y}{x+y}$ = $\dfrac{13}{17}$

Or, 17 × (x - y) = 13 × (x + y)

Or, 17 x - 17 y = 13 x + 13 y

Or, 17 x - 13 x = 13 y + 17 y

Or, 4 x = 30 y

Now, ∵ x = 15 miles per hour

So, 4 × 15 = 30 y

Or, y = $\dfrac{60}{30}$

∴ y = 2 miles per hour

Hence The speed of the current is 2 miles per hours Answer

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