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Asked by Sahiba Last Modified
Answer 
a) Average speed is defined as the total distance traveled divided by the total time taken to travel that distance. Mathematically, it can be expressed as:
Average speed=Total distance/Total time
(b) To calculate the average speed for the entire journey of the bus, we need to determine the total distance traveled and the total time taken for the round trip.
Total Distance: The bus travels a distance of 120 km to the destination and then returns the same distance back. Therefore, the total distance, D = 120km + 120km = 240km
Total Time: To find the total time, we need to calculate the time taken for each leg of the journey separately and then sum these times.
Time to travel to the destination: The bus travels 120 km with a speed of 40 km/h.
t1=Distance/Speed=120 km/40 km/h=3 hours
Time to return: The bus returns the same 120 km distance with a speed of 30 km/h.
t2=DistanceSpeed=120 km30 km/h=4 hours
Therefore, the total time,T for the round trip is:
T=t1+t2=3 hours+4 hours=7 hours
Average Speed: Using the formula for average speed: Average speed=Total distance/Total time=240 km/7 hours
Calculating this gives:
Average speed=240km/7hrs ≈ 34.29 km/h
So, the average speed for the entire journey is approximately 34.29 km/h
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