Math  /  Numbers & Operations

Questionb. (3,0)(3,0) c. (5,4)(-5,-4) 8.
Find the rate of travel for a fishing boat with a speed of 10 miles per hour ( mph ) moving downstream with a current of 5 mph . d. -15 mph a. 5 mph e. 15 mph

Studdy Solution

STEP 1

What is this asking? How fast is a boat moving if it's going with the flow of a river? Watch out! Don't subtract the speeds!
We need to *combine* them since the boat and current are moving in the same direction.

STEP 2

1. Understand Downstream Motion
2. Calculate Combined Speed

STEP 3

Imagine you're on a boat, cruising down a lazy river.
The boat's engine pushes you forward, and the river's current *also* carries you along.
They work *together* to make you go faster!

STEP 4

This means that when a boat travels downstream (with the current), its effective speed is the *sum* of its own speed and the speed of the current.

STEP 5

The boat's speed is given as **10 mph**, and the current's speed is **5 mph**.
Since the boat is moving downstream, we **add** these speeds together.

STEP 6

So, the combined speed is \(10 \text{ mph} + 5 mph5 \text{ mph} = 15 mph15 \text{ mph}\).
That's how fast the boat is *actually* moving relative to the riverbank!

STEP 7

The fishing boat travels downstream at a speed of **15 mph**, which corresponds to answer choice (e).

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