Amir travels half of his journey by Bus at a Speed of 200/9m/s and hal...
Solution:
Given,
Speed of Bus = 200/9 m/s
Speed of Metro = 120 km/h
We need to find the average speed of the entire journey.
Let the total distance be D.
Distance covered by Bus = D/2
Distance covered by Metro = D/2
Time taken by Bus = Distance/Speed = (D/2)/(200/9) = 9D/400
Time taken by Metro = Distance/Speed = (D/2)/(120) = D/240
Total time taken for the entire journey = (9D/400) + (D/240) = 33D/2400
Average speed = Total distance / Total time
Total distance = D + D = 2D
Total time = 33D/2400
Average speed = 2D / (33D/2400) = 160 km/h
Therefore, the average speed of the entire journey is 160 km/h.
Explanation:
- We are given the speed of the bus and metro.
- We know that the distance traveled by Amir is divided into two equal parts.
- We use the formula for distance, speed, and time to find the time taken by the bus and metro to travel the given distance.
- We add the time taken by both the bus and metro to get the total time taken for the entire journey.
- We use the formula for average speed to find the average speed of the entire journey.
- By substituting the given values, we get the average speed of the entire journey as 160 km/h.
Amir travels half of his journey by Bus at a Speed of 200/9m/s and hal...
Speed by bus= 80 km/hr
speed by metro= 120 km/hr
average speed= 2* 240/(2+3) = 96