Brian set a goal to horseback ride more than 6 miles. The horse he rode averaged a speed of 4.6 miles per hour.
Brian rode $\square$ miles.
Did he reach his goal?
| Brian's Activity Time (hours) |
| :--------------------------: |
| 3 |
| Mountain Biking |
| 1.45 |
| Horseback Riding |
| 1.2 |
| Cross-Country Skiing |
| 0.75 |
$\square$
Answer (2)
Calculate the distance Brian rode: d i s t an ce = 4.6 × 1.2 = 5.52 miles.
Compare the distance with Brian's goal: 5.52 < 6 .
Determine if Brian reached his goal: No.
State the final answer: Brian rode 5.52 miles and did not reach his goal. 5.52
Explanation
Calculate the distance Brian rode Let's first calculate the distance Brian rode on horseback. We know that distance is equal to speed multiplied by time. In this case, the speed of the horse is 4.6 miles per hour, and Brian rode for 1.2 hours.
Calculate the distance Now, we multiply the speed and time to find the distance: d i s t an ce = s p ee d × t im e = 4.6 × 1.2 = 5.52 So, Brian rode 5.52 miles.
Compare the distance with Brian's goal Brian's goal was to ride more than 6 miles. We need to compare the distance he actually rode (5.52 miles) with his goal. Since 5.52 is less than 6, Brian did not reach his goal.
Final Answer Therefore, Brian rode 5.52 miles, and he did not reach his goal of riding more than 6 miles.
Examples
Understanding distance, speed, and time is useful in many real-life situations. For example, if you are planning a road trip, you can use the average speed of your car and the time you plan to drive each day to estimate the total distance you will cover. Similarly, if you are training for a race, you can track your speed and time to monitor your progress and adjust your training plan accordingly. This concept is also used in logistics and transportation to optimize delivery routes and schedules.
Brian rode 5.52 miles, which is less than his goal of more than 6 miles. Therefore, he did not reach his goal. In numerical terms, since 5.52 < 6, the answer is no.
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