A car goes town A to another toen B with a speed of 40km/h and return back to the town A with speed of 60km/h the average speed of car during the complete journey is what
Answers
Answer:
48 km/hr
Explanation:
In such types of questions we have to understand that the time taken in both the parts of the journey are not the same. Let distance between town A and B be x km.
While going:
Time taken = Total distance / speed.
= (x km) / (40 km/hr)
While returning:
Time taken = (x km) / (60 km/hr)
Average speed = Total distance/ Total time
(x km + x km) /{(x km) / (40 km/hr) + (x km) / (60 km/hr)}
= 2x / (3x + 2x / 120)
= 2x / (5x/120)
= 2x / (x/24)
= (2x × 24)/ x
= 48 km/h
Answer:
The average speed of the car during the complete journey is 48 km/h
Explanation:
Given :
A car goes town A to another town B with a speed of 40 km/h and return back to the town A with speed of 60 km/h
To find :
the average speed of car during the complete journey
Solution :
Let the distance between town A and town B be 'x km'
Town A to Town B :
speed = 40 km/h
distance = x km
time taken = ?
Speed = distance/time taken
40 km/h = x km/ time taken
time taken = x/40 hr
Town B to Town A :
speed = 60 km/h
distance = x km
time taken = ?
Speed = distance/time taken
60 km/h = x km/time taken
time taken = x/60 hr
Average speed :
Total distance covered = x + x = 2x km
total time taken = x/40 + x/60
Average speed = total distance covered/total time taken
Therefore, the average speed of the car during the complete journey is 48 km/h