Math / Numbers & Operations

QuestionDavid drives 40 miles in one hour. How many miles does he drive in 1.5 hours? A 50 B 60 C 70 A B C

Studdy Solution

STEP 1

What is this asking? If David drives at a constant speed, and he covers 40 miles in one hour, how far will he go in 1.5 hours? Watch out! Don't just add 40 and 1.5!
We need to consider the rate at which David is driving.

STEP 2

1. Find the rate
2. Calculate the distance

STEP 3

We know David drives 40 miles in one hour.
This tells us his speed!
His rate is $\frac{40 \text{ miles}}{1 \text{ hour}}$ .
That's $\frac{40}{1}$ miles per hour, which simplifies to 40 miles per hour!

STEP 4

Now, we want to find out how far he drives in 1.5 hours.
We can do this by multiplying his rate (40 miles per hour) by the time (1.5 hours).

STEP 5

$\text{Distance} = \text{Rate} \cdot \text{Time}$

STEP 6

Let's plug in the values: $\text{Distance} = 40 \frac{\text{miles}}{\text{hour}} \cdot 1.5 \text{ hours}$

STEP 7

Notice how the hours divide to one, leaving us with just miles, which is exactly what we want! $\text{Distance} = 40 \cdot 1.5 \text{ miles}$

STEP 8

$\text{Distance} = 60 \text{ miles}$

STEP 9

David drives 60 miles in 1.5 hours.
So the answer is B!

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QuestionDavid drives 40 miles in one hour. How many miles does he drive in 1.5 hours? A 50 B 60 C 70 A B C

Studdy Solution

STEP 1

What is this asking? If David drives at a constant speed, and he covers 40 miles in one hour, how far will he go in 1.5 hours? Watch out! Don't just add 40 and 1.5!
We need to consider the rate at which David is driving.

STEP 2

1. Find the rate
2. Calculate the distance

STEP 3

We know David drives 40 miles in one hour.
This tells us his speed!
His rate is $\frac{40 \text{ miles}}{1 \text{ hour}}$ .
That's $\frac{40}{1}$ miles per hour, which simplifies to 40 miles per hour!

STEP 4

Now, we want to find out how far he drives in 1.5 hours.
We can do this by multiplying his rate (40 miles per hour) by the time (1.5 hours).

STEP 5

$\text{Distance} = \text{Rate} \cdot \text{Time}$

STEP 6

Let's plug in the values: $\text{Distance} = 40 \frac{\text{miles}}{\text{hour}} \cdot 1.5 \text{ hours}$

STEP 7

Notice how the hours divide to one, leaving us with just miles, which is exactly what we want! $\text{Distance} = 40 \cdot 1.5 \text{ miles}$

STEP 8

$\text{Distance} = 60 \text{ miles}$

STEP 9

David drives 60 miles in 1.5 hours.
So the answer is B!

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QuestionDavid drives 40 miles in one hour. How many miles does he drive in 1.5 hours? A 50 B 60 C 70 A B C

Studdy Solution

STEP 1

What is this asking? If David drives at a constant speed, and he covers 40 miles in one hour, how far will he go in 1.5 hours? Watch out! Don't just add 40 and 1.5!We need to consider the *rate* at which David is driving.

STEP 2

1. Find the rate2. Calculate the distance

STEP 3

We know David drives 40 miles in one hour.This tells us his speed!His **rate** is 40 miles1 hour\frac{40 \text{ miles}}{1 \text{ hour}}1 hour40 miles​.That's 401\frac{40}{1}140​ miles per hour, which simplifies to **40 miles per hour**!

STEP 4

Now, we want to find out how far he drives in 1.5 hours.We can do this by multiplying his **rate** (40 miles per hour) by the **time** (1.5 hours).

STEP 5

Distance=Rate⋅Time\text{Distance} = \text{Rate} \cdot \text{Time}Distance=Rate⋅Time

STEP 6

Let's plug in the values: Distance=40mileshour⋅1.5 hours\text{Distance} = 40 \frac{\text{miles}}{\text{hour}} \cdot 1.5 \text{ hours}Distance=40hourmiles​⋅1.5 hours

STEP 7

Notice how the *hours* divide to one, leaving us with just miles, which is exactly what we want! Distance=40⋅1.5 miles\text{Distance} = 40 \cdot 1.5 \text{ miles}Distance=40⋅1.5 miles

STEP 8

Distance=60 miles\text{Distance} = 60 \text{ miles}Distance=60 miles

STEP 9

David drives **60 miles** in 1.5 hours.So the answer is B!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? If David drives at a constant speed, and he covers 40 miles in one hour, how far will he go in 1.5 hours? Watch out! Don't just add 40 and 1.5!
We need to consider the rate at which David is driving.

1. Find the rate
2. Calculate the distance

We know David drives 40 miles in one hour.
This tells us his speed!
His rate is $\frac{40 \text{ miles}}{1 \text{ hour}}$ .
That's $\frac{40}{1}$ miles per hour, which simplifies to 40 miles per hour!

Now, we want to find out how far he drives in 1.5 hours.
We can do this by multiplying his rate (40 miles per hour) by the time (1.5 hours).

$\text{Distance} = \text{Rate} \cdot \text{Time}$

Let's plug in the values: $\text{Distance} = 40 \frac{\text{miles}}{\text{hour}} \cdot 1.5 \text{ hours}$

Notice how the hours divide to one, leaving us with just miles, which is exactly what we want! $\text{Distance} = 40 \cdot 1.5 \text{ miles}$

$\text{Distance} = 60 \text{ miles}$

David drives 60 miles in 1.5 hours.
So the answer is B!