Calculate Rate Problem: Converting 3 Cookies Per Minute to Hours

Q: Why do I multiply the rate by 60?

Since Darío eats 3 cookies every minute, and there are 60 minutes in an hour, you need to find how many groups of 3 cookies he eats. That's 60 groups of 3 cookies each!

Q: What if the rate was given per hour instead?

If the rate was already per hour, you wouldn't need to convert! The answer would be the rate itself. Always check the time units in the given rate first.

Q: How do I remember that 1 hour = 60 minutes?

Think of a clock face! There are 60 tick marks around the edge (one for each minute). You can also remember: 60 seconds = 1 minute, 60 minutes = 1 hour.

Q: Can I work backwards to check my answer?

Yes! Divide your answer by 60: $ 180 ÷ 60 = 3 $. This should equal the original rate of 3 cookies per minute ✓

Q: What if I need to find cookies per second instead?

Convert the other way! Since there are 60 seconds in 1 minute, divide: $ 3 ÷ 60 = 0.05 $ cookies per second.

Unit Rate Conversion with Time Scaling

Darío eats 3 cookies per minute.

How many cookies does Darío eat in an hour?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 How many cookies does Danny eat per hour?

00:04 Given: number of cookies per minute, number of minutes per hour

00:07 We will use long multiplication to calculate

00:13 We will solve each multiplication separately and then substitute in the long multiplication

00:29 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Darío eats 3 cookies per minute.

How many cookies does Darío eat in an hour?

Step-by-step solution

To solve this problem, we'll go through the following steps:

Step 1: Convert the time from hours to minutes.
Step 2: Calculate the total number of cookies eaten using the rate of eating.

Now, let's work through each step:

Step 1: Convert the time from hours to minutes. Since there are 60 minutes in an hour, the time span in minutes is $60$ minutes.

Step 2: Calculate the total number of cookies. Darío's eating rate is $3$ cookies per minute. Multiply the eating rate by the total time in minutes to find the total number of cookies eaten:

3 \text{ cookies/minute} \times 60 \text{ minutes} = 180 \text{ cookies}

Therefore, Darío eats a total of $180$ cookies in one hour.

This matches the given correct answer choice. Thus, the solution to the problem is $180$ .

Final Answer

$180$

Key Points to Remember

Essential concepts to master this topic

Time Conversion: One hour equals exactly 60 minutes
Rate Multiplication: 3 cookies/minute × 60 minutes = 180 cookies
Check Units: Minutes cancel out, leaving only cookies as final unit ✓

Common Mistakes

Avoid these frequent errors

Using wrong time conversion
Don't assume 1 hour = 100 minutes = 300 cookies! This confusion with base-10 vs base-60 time gives massively wrong answers. Always remember 1 hour = 60 minutes for accurate rate calculations.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I multiply the rate by 60?

Since Darío eats 3 cookies every minute, and there are 60 minutes in an hour, you need to find how many groups of 3 cookies he eats. That's 60 groups of 3 cookies each!

What if the rate was given per hour instead?

If the rate was already per hour, you wouldn't need to convert! The answer would be the rate itself. Always check the time units in the given rate first.

How do I remember that 1 hour = 60 minutes?

Think of a clock face! There are 60 tick marks around the edge (one for each minute). You can also remember: 60 seconds = 1 minute, 60 minutes = 1 hour.

Can I work backwards to check my answer?

Yes! Divide your answer by 60: $180 ÷ 60 = 3$ . This should equal the original rate of 3 cookies per minute ✓

What if I need to find cookies per second instead?

Convert the other way! Since there are 60 seconds in 1 minute, divide: $3 ÷ 60 = 0.05$ cookies per second.

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