Total distance = 2d. Total time = d/60 + d/40 = (2d + 3d)/120 = 5d/120 = d/24.
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- Length = 30, so area = 10 × 30 = 300 square meters.
- A car travels from city A to city B at 60 km/h and returns at 40 km/h. What is the average speed for the entire round trip?
- Let distance be d. Time to B = d/60, time to return = d/40.
- Average speed = total distance / total time = 2d / (d/24) = 48 km/h.
- Solve for x: log₂(x + 3) + log₂(x − 1) = 3.
- Combine logs: log₂[(x + 3)(x − 1)] = 3 → (x + 3)(x − 1) = 2³ = 8.
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