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Math  /  Numbers & Operations

Question1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?
Dion travels □\square miles in 15 minutes.

Studdy Solution

STEP 1

What is this asking? How far does Dion travel on his hovercraft in just 15 minutes if he's cruising at a speed of 40 miles per hour? Watch out! The speed is in miles per *hour*, but the time is in *minutes*.
Sneaky!

STEP 2

1. Convert Time
2. Calculate Distance

STEP 3

We're given the time in **minutes**, but the speed is in **miles per hour**.
To make these units match, let's convert the time to **hours**.
Remember, there are **60** minutes in an hour!

STEP 4

We have **15 minutes**.
To convert this to hours, we'll **divide** by **60** (since there are 60 minutes in an hour): 15 minutes60 minutes/hour=1560 hours=14 hour \frac{15 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{15}{60} \text{ hours} = \frac{1}{4} \text{ hour} So, 15 minutes is equal to 14\frac{1}{4} of an hour, or **0.25 hours**.

STEP 5

Now we have matching units!
We know that **distance** is equal to **speed** multiplied by **time**.
Our speed is **40 miles per hour**, and our time is **0.25 hours**.

STEP 6

Let's **multiply** them together: Distance=Speed⋅Time \text{Distance} = \text{Speed} \cdot \text{Time} Distance=40mileshour⋅0.25 hours \text{Distance} = 40 \frac{\text{miles}}{\text{hour}} \cdot 0.25 \text{ hours} Distance=40⋅0.25 miles \text{Distance} = 40 \cdot 0.25 \text{ miles} Distance=10 miles \text{Distance} = 10 \text{ miles}

STEP 7

Dion travels **10 miles** in 15 minutes.
Woohoo!

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