Math Snap
PROBLEM
b.
c.
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
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 \(10 \text{ mph} + = \).
That's how fast the boat is actually moving relative to the riverbank!
SOLUTION
The fishing boat travels downstream at a speed of 15 mph, which corresponds to answer choice (e).
