A car travels at a speed of 45 m/s for a time interval T and then travels at a speed of 15 m/s for another time interval 2T. Find average speed for the total journey.
Question
A car travels at a speed of 45 m/s for a time interval T and then travels at a speed of 15 m/s for another time interval 2T. Find average speed for the total journey.
Solution
To find the average speed for the total journey, we need to divide the total distance by the total time.
Step 1: Calculate the distance travelled at each speed.
- Distance = Speed x Time
- For the first part of the journey, the car travels at 45 m/s for a time T. So, the distance covered is 45T.
- For the second part of the journey, the car travels at 15 m/s for a time 2T. So, the distance covered is 15 x 2T = 30T.
Step 2: Add the distances together to get the total distance.
- Total distance = 45T + 30T = 75T
Step 3: Add the times together to get the total time.
- Total time = T + 2T = 3T
Step 4: Calculate the average speed.
- Average speed = Total distance / Total time = 75T / 3T = 25 m/s
So, the average speed for the total journey is 25 m/s.
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