A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed
Answer Details
The average speed of a car is given by the total distance traveled divided by the total time taken. Let's assume that the car traveled a distance of D km in the given time. Then, we can write:
Total time taken = 1 hour + 2 hours = 3 hours
Distance traveled in the first hour = x km
Distance traveled in the next 2 hours = y × 2 = 2y km
Total distance traveled = D = x + 2y km
Therefore, the average speed of the car is:
Average speed = Total distance / Total time
= D / 3
= (x + 2y) / 3 km/h
Hence, the answer is option (C): \(\frac{x + 2y}{3}kmh^{-1}\).