Brian visited a mountain park with trails for hiking, mountain biking, horseback riding, and cross-country skiing. The chart shows the time Brian spent doing each activity.
| | |
| :-------------------- | :-------------------- |
| **Brian's Activity Time (hours)** | |
| Hiking | 3 |
| Mountain Biking | 1.45 |
| Horseback Riding | 1.2 |
| Cross-Country Skiing | 0.75 |
Brian biked the yellow trail loop that circles the park. He rode at an average speed of 12.2 miles per hour. How many miles did Brian bike?
12. 2
\times 1.45
610
4880
+(\square)
Brian biked a distance of $\square$ miles.
Answer (2)
Calculate the distance using the formula: D i s t an ce = Sp ee d × T im e .
Substitute the given values: D i s t an ce = 12.2 miles/hour × 1.45 hours .
Perform the multiplication: D i s t an ce = 17.69 miles .
Brian biked a distance of 17.69 miles .
Explanation
Understanding the Problem We are given that Brian biked for 1.45 hours at an average speed of 12.2 miles per hour. We need to find the total distance he biked.
Using the Formula To find the distance, we use the formula: D i s t an ce = Sp ee d × T im e
Substituting the Values We substitute the given values into the formula: D i s t an ce = 12.2 miles/hour × 1.45 hours
Calculating the Distance Now, we perform the multiplication: D i s t an ce = 17.69 miles
Final Answer Therefore, Brian biked a distance of 17.69 miles.
Examples
Understanding how to calculate distance based on speed and time is useful in many real-life situations. For example, if you are planning a road trip, you can use your average speed and the time you expect to drive each day to estimate the total distance you will cover. Similarly, if you are tracking your speed while running or cycling, you can use the time you spend exercising to calculate the total distance you traveled. This concept is also used in navigation systems to estimate arrival times based on current speed and remaining distance.
To find out how far Brian biked, we multiply his average speed of 12.2 miles per hour by the time he spent biking, which is 1.45 hours. The calculation results in a total distance of 17.69 miles. Thus, Brian biked 17.69 miles.
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