Sunrise Time Difference
1. **Problem statement:** Madrid and New York City share the same latitude but have different longitudes: Madrid at 4° West and New York City at 74° West. We want to find how many hours and minutes later sunrise occurs in New York compared to Madrid.
2. **Formula and concept:** The Earth rotates 360° in 24 hours. Therefore, the time difference between two locations can be calculated by the difference in their longitudes divided by the rotation rate of the Earth.
3. **Calculate longitude difference:**
$$\text{Longitude difference} = 74^\circ - 4^\circ = 70^\circ$$
4. **Calculate time difference:**
The Earth rotates 360° in 24 hours, so the rotation rate is:
$$\frac{360^\circ}{24 \text{ hours}} = 15^\circ \text{ per hour}$$
Time difference is:
$$\frac{70^\circ}{15^\circ/\text{hour}} = \frac{70}{15} = 4.6667 \text{ hours}$$
5. **Convert decimal hours to hours and minutes:**
$$0.6667 \text{ hours} \times 60 \text{ minutes/hour} = 40 \text{ minutes}$$
So, the time difference is approximately 4 hours and 40 minutes.
6. **Interpretation:** Sunrise in New York occurs about 4 hours and 40 minutes later than in Madrid.
**Final answer:** 4 hr 40 min