A motorist travelled 48km at an average speed of 30km/h. If he made a returned journey at an average speed of 50km/h. Find the average speed of the whole journey.
To find the average speed of the whole journey, we need to find the total distance traveled and the total time taken.
The motorist traveled 48 km on the first leg of the journey at an average speed of 30 km/h. So, the time taken for this part of the journey can be found using the formula:
Time = Distance / Speed
Time 1 = 48 km / 30 km/h = 1.6 hours
On the return journey, the motorist traveled the same distance, 48 km, at an average speed of 50 km/h. So, the time taken for this part of the journey can be found using the same formula:
Time 2 = 48 km / 50 km/h = 0.96 hours
Now, to find the total time taken for the whole journey, we need to add the time taken for both parts:
Total Time = Time 1 + Time 2 = 1.6 hours + 0.96 hours = 2.56 hours
To find the average speed of the whole journey, we can use the formula:
Average Speed = Total Distance / Total Time
Total Distance = 48 km + 48 km = 96 km
Average Speed = 96 km / 2.56 hours ≈ 37.5 km/h
Therefore, the average speed of the whole journey is approximately 37.5 km/h.
To find the average speed of the whole journey, we need to consider the total distance covered and the total time taken.
Let's start finding the time taken for each journey:
For the first journey (48 km at a speed of 30 km/h):
Time = Distance / Speed
Time = 48 km / 30 km/h
Time = 1.6 hours
For the return journey (48 km at a speed of 50 km/h):
Time = Distance / Speed
Time = 48 km / 50 km/h
Time = 0.96 hours
Now, let's find the total distance covered:
Total Distance = Outward Distance + Return Distance
Total Distance = 48 km + 48 km
Total Distance = 96 km
Next, let's find the total time taken:
Total Time = Outward Time + Return Time
Total Time = 1.6 hours + 0.96 hours
Total Time = 2.56 hours
Finally, we can calculate the average speed of the whole journey:
Average Speed = Total Distance / Total Time
Average Speed = 96 km / 2.56 hours
Average Speed ≈ 37.5 km/h
Therefore, the average speed of the whole journey is approximately 37.5 km/h.