Question
From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225 feet per minute for 6 minutes. How far is the hot-air balloon above the ground?
150 feet
525 feet
1,125 feet
1,875 feet
150 feet
525 feet
1,125 feet
1,875 feet
Answers
GPT-4o mini
To determine how far the hot-air balloon is above the ground, we need to calculate the distance it ascended and the distance it descended.
1. **Calculating the ascent:**
- The balloon rises at a speed of 375 feet per minute for 5 minutes.
- Distance ascended = speed × time = 375 feet/minute × 5 minutes = 1,875 feet.
2. **Calculating the descent:**
- The balloon descends at a speed of 225 feet per minute for 6 minutes.
- Distance descended = speed × time = 225 feet/minute × 6 minutes = 1,350 feet.
3. **Calculating the final height above ground:**
- Final height = distance ascended - distance descended = 1,875 feet - 1,350 feet = 525 feet.
Therefore, the hot-air balloon is **525 feet** above the ground.
1. **Calculating the ascent:**
- The balloon rises at a speed of 375 feet per minute for 5 minutes.
- Distance ascended = speed × time = 375 feet/minute × 5 minutes = 1,875 feet.
2. **Calculating the descent:**
- The balloon descends at a speed of 225 feet per minute for 6 minutes.
- Distance descended = speed × time = 225 feet/minute × 6 minutes = 1,350 feet.
3. **Calculating the final height above ground:**
- Final height = distance ascended - distance descended = 1,875 feet - 1,350 feet = 525 feet.
Therefore, the hot-air balloon is **525 feet** above the ground.