A woman walked 1.5 km on walk? treadmill at the gym. A) How many meters did she walk? B) How many fe b) b
The correct answer and explanation is :
Let’s break this problem into two parts:
Question:
A woman walked 1.5 kilometers on a treadmill at the gym.
A) How many meters did she walk?
B) How many feet did she walk?
✅ Answers:
A)
1 kilometer = 1,000 meters
So:
1.5 kilometers × 1,000 meters/kilometer = 1,500 meters
✅ Answer: 1,500 meters
B)
1 kilometer = approximately 3,280.84 feet
So:
1.5 kilometers × 3,280.84 feet/kilometer = 4,921.26 feet
✅ Answer: Approximately 4,921.26 feet
🧠 Detailed Explanation (300+ words):
This problem involves unit conversion, a crucial skill in both daily life and many professional fields like science, health care, and fitness.
The woman walked a distance of 1.5 kilometers, but the question asks us to convert this distance into meters and then into feet. To solve this, we need to understand how these units relate to one another.
Part A: Converting Kilometers to Meters
A kilometer is a unit of length in the metric system, which is based on powers of 10. In the metric system:
- 1 kilometer (km) = 1,000 meters (m)
So, to convert kilometers to meters, you simply multiply the number of kilometers by 1,000:
[
1.5 \text{ km} \times 1,000 = 1,500 \text{ meters}
]
This makes sense because 1.5 kilometers is one and a half kilometers, so it’s like walking one full kilometer (1,000 meters) plus half of another kilometer (500 meters), which equals 1,500 meters.
Part B: Converting Kilometers to Feet
Feet are used in the imperial system, which is common in the United States. The conversion is:
- 1 kilometer ≈ 3,280.84 feet
Now multiply:
[
1.5 \text{ km} \times 3,280.84 = 4,921.26 \text{ feet}
]
So, the woman walked approximately 4,921.26 feet on the treadmill.
🏁 Final Summary:
- 1.5 kilometers = 1,500 meters
- 1.5 kilometers ≈ 4,921.26 feet
This example shows how using conversion factors correctly allows us to interpret distances in different measurement systems.