A man covers a total distance of 100 km on bicycle. For the first 2 hours, the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be
12 ½ km/hr
To calculate the average speed for the entire journey, we need to first determine the total time taken for the trip. The average speed formula is:
Average Speed = Total Distance / Total Time
First, let's break down the journey into two parts:
- First Part: The man travels at 20 km/hr for 2 hours. Therefore, the distance covered in this part is:
Distance = Speed × Time = 20 km/hr × 2 hr = 40 km - Second Part: The remaining distance is covered at 10 km/hr. The remaining distance is:
100 km (total distance) - 40 km = 60 km
For the second part, we calculate the time required to cover 60 km at 10 km/hr:
Time = Distance / Speed = 60 km / 10 km/hr = 6 hr
Now, we have the total time for the entire trip:
Total Time = 2 hr (first part) + 6 hr (second part) = 8 hr
Finally, calculate the average speed using the average speed formula:
Average Speed = Total Distance / Total Time = 100 km / 8 hr = 12.5 km/hr
To express 12.5 km/hr as a mixed fraction, it is equivalent to 12⅛ km/hr.
Thus, the average speed of the man over the total journey is 12⅛ km/hr.
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