Calculate Diego’s Rest Time: Analyzing His Cycling Adventure

Q: Why do I need to convert 1 hour and 15 minutes to minutes?

You need consistent units to do arithmetic! Since the cycling times are given in minutes (28 and 34), convert the total time: $ 1 \text{ hour} + 15 \text{ minutes} = 60 + 15 = 75 \text{ minutes} $.

Q: How do I know which times to add and which to subtract?

Add the cycling times together first: $ 28 + 34 = 62 $ minutes. Then subtract this from the total time to find rest time: $ 75 - 62 = 13 $ minutes.

Q: What if Diego had more than two parts to cycle?

The method stays the same! Add up all the cycling times, then subtract that sum from the total journey time. The difference is always the total rest time.

Q: Can rest time ever be negative?

No! If you get a negative answer, check your work. Either you made a calculation error or misunderstood the problem. Rest time must be zero or positive.

Q: How can I check if my answer makes sense?

Add everything up: $ 28 + 34 + 13 = 75 $ minutes. This should equal the given total time. Also, rest time should be reasonable - not longer than the cycling time itself!

Time Calculation with Rest Intervals

Diego cycles around a bike path in two parts.

Part 1: 8.6 km in 28 minutes

Part 2: 11.4 km in 34 minutes

He rests between both parts.

If Diego travels at an average speed without stopping, he finishes in an hour and a quarter.

For how long does he rest?

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Understand the problem

For how long does he rest?

Step-by-step solution

To solve this problem, we will follow these steps:

Step 1: Calculate the time taken for Part 1 of the bike path.
Step 2: Calculate the time taken for Part 2 of the bike path.
Step 3: Sum the times from Steps 1 and 2 to get the total cycling time.
Step 4: Subtract this total cycling time from the overall given time to find Diego's rest time.

Let's calculate:

Step 1: The time taken for Part 1 is 28 minutes.

Step 2: The time taken for Part 2 is 34 minutes.

Step 3: The total cycling time is $28 + 34 = 62$ minutes.

Step 4: Diego's total time to complete the cycle, including rest, is 75 minutes (1 hour and 15 minutes). The rest time is:

$75 - 62 = 13$ minutes.

Therefore, the solution to the problem is $13$ minutes.

Final Answer

$13$ minutes

Key Points to Remember

Essential concepts to master this topic

Total Time: Add all cycling times plus any rest periods
Technique: Subtract actual cycling time from given total: $75 - 62 = 13$ minutes
Check: Verify that $28 + 34 + 13 = 75$ minutes total ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert total time to minutes
Don't leave "1 hour and 15 minutes" as mixed units = calculation errors! This leads to subtracting minutes from hours incorrectly. Always convert everything to the same unit first: 1 hour 15 minutes = 75 minutes.

Practice Quiz

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What is the average speed according to the data?

FAQ

Everything you need to know about this question

Why do I need to convert 1 hour and 15 minutes to minutes?

You need consistent units to do arithmetic! Since the cycling times are given in minutes (28 and 34), convert the total time: $1 \text{ hour} + 15 \text{ minutes} = 60 + 15 = 75 \text{ minutes}$ .

How do I know which times to add and which to subtract?

Add the cycling times together first: $28 + 34 = 62$ minutes. Then subtract this from the total time to find rest time: $75 - 62 = 13$ minutes.

What if Diego had more than two parts to cycle?

The method stays the same! Add up all the cycling times, then subtract that sum from the total journey time. The difference is always the total rest time.

Can rest time ever be negative?

No! If you get a negative answer, check your work. Either you made a calculation error or misunderstood the problem. Rest time must be zero or positive.

How can I check if my answer makes sense?

Add everything up: $28 + 34 + 13 = 75$ minutes. This should equal the given total time. Also, rest time should be reasonable - not longer than the cycling time itself!

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Calculate Diego’s Rest Time: Analyzing His Cycling Adventure

Time Calculation with Rest Intervals

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I need to convert 1 hour and 15 minutes to minutes?

How do I know which times to add and which to subtract?

What if Diego had more than two parts to cycle?

Can rest time ever be negative?

How can I check if my answer makes sense?

🌟 Unlock Your Math Potential

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