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Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey?
Most Upvoted Answer
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.
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.
Community Answer
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
speed by metro= 120 km/hr
average speed= 2* 240/(2+3) = 96
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Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey?
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Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey?.
Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amir travels half of his journey by Bus at a Speed of 200/9m/s and half of his journey by Metro at 120km/h. Calculate his average Speed over the entire journey?.
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