Given that Nadeem is riding at a constant speed of 10 miles per hour (mph), we can now solve for the time $t$ using the formula:

$\text{Distance} = \text{Speed} \times \text{Time}$

Since the distance Nadeem plans to ride is between 12 miles and 15 miles, the equation for time becomes:

$12 \leq 10 \times t \leq 15$

To solve for $t$, divide the entire inequality by 10:

$\frac{12}{10} \leq t \leq \frac{15}{10}$

Simplifying this gives:

$1.2 \leq t \leq 1.5$

So, Nadeem will be riding for between 1.2 hours and 1.5 hours.

To convert this into minutes:

• $1.2$ hours is $1.2 \times 60 = 72$ minutes.
• $1.5$ hours is $1.5 \times 60 = 90$ minutes.

Therefore, Nadeem will be riding for between 72 and 90 minutes.

Do you have any more questions, or would you like to dive deeper into any part of this?

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Here are some related questions:

1. What if Nadeem increased her speed to 12 mph? How would that change the time?
2. How many miles would she cover if she rode for 2 hours at the same speed?
3. How does riding uphill or downhill affect the speed and time calculation?
4. If Nadeem takes a 10-minute break during her ride, how would that affect her total riding time?
5. What are the advantages of knowing the exact riding time before starting the trip?

Tip: It's often helpful to convert time into minutes when estimating travel duration to get a more practical sense of how long something will take.