A body covers half of its journey with speed of 60m/s and other half w...
Solution:
To find the average speed during the whole journey, we can use the formula:
Average speed = Total distance / Total time
Calculation of Total Distance:
Let's assume that the total distance covered by the body is "d". Then, the first half of the journey would be covered in "d/2" distance and the remaining half would also be covered in "d/2" distance.
Total distance = d/2 + d/2
Total distance = d
Calculation of Total Time:
To find the total time taken during the journey, we can use the formula:
Time = Distance / Speed
Time taken to cover the first half of the journey,
t1 = (d/2) / 60
t1 = d / 120
Time taken to cover the remaining half of the journey,
t2 = (d/2) / 40
t2 = d / 80
Total time taken for the journey,
Total time = t1 + t2
Total time = d/120 + d/80
Total time = (2d + 3d) / 240
Total time = 5d / 240
Calculation of Average Speed:
Now, we can substitute the values of total distance and total time in the formula of average speed.
Average speed = Total distance / Total time
Average speed = d / (5d/240)
Average speed = d * 240 / 5d
Average speed = 48 m/s
Therefore, the average speed during the whole journey is 48 m/s.
Explanation:
A body covers half of its journey with a speed of 60 m/s and the other half with a speed of 40 m/s. We have first calculated the total distance covered by the body which is equal to "d". Then, we have calculated the total time taken by the body to cover the whole journey. Finally, we have used the formula of average speed to find the average speed during the whole journey.