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A car travels at a constant speed of 60 km/h for 2.5 hours. How far does it travel, and what is its average speed if it returns at 80 km/h?
Distance traveled = \( 60 \times 2.5 = 150 \) km.
Time to return = \( \frac{150}{80} = 1.875 \) hours.
Total time = \( 2.5 + 1.875 = 4.375 \) hours.
Total distance = \( 150 \times 2 = 300 \) km.
Average speed = \( \frac{300}{4.375} \approx 68.57 \) km/h.
#### 150 km, 68.57 km/h
If the sum of the first \( n \) natural numbers is 210, find \( n \).
The formula for the sum is \( \frac{n(n+1)}{2} = 210 \).
Solving \( n(n+1) = 420 \).