Calculate Diego’s Rest Time: Analyzing His Cycling Adventure

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.