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A man moves on a straight path. He t
ravels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?
ravels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?
Most Upvoted Answer
A man moves on a straight path. He travels total distance l. He travel...
- Given Data:
A man travels total distance l.
He travels half of his journey with speed 10 m/s.
The remaining part of the journey was covered by him with speed 20 m/s for half of the remaining time and with velocity 40 m/s for the other half of the remaining time.
- Calculating Average Speed:
To calculate the average speed for the complete journey, we need to first find the total time taken for the journey. Let the total time taken be T seconds.
- Calculating Time:
Since the man travels half of his journey with speed 10 m/s, the time taken for this part of the journey is l/2 * 1/10 = l/20 seconds.
Let x be the distance covered with speed 20 m/s and y be the distance covered with speed 40 m/s.
The time taken for x distance is x/20 and for y distance is y/40 seconds.
From the given conditions, x = y.
So, x/20 + y/40 = T - l/20.
- Calculating Distance:
Since x = y, x + y + l/2 = l.
Substitute x = y in the above equation to find the values of x and y.
x = y = l/6.
- Calculating Total Time:
Substitute x = y = l/6 in x/20 + y/40 = T - l/20 to get T = 7l/60.
- Calculating Average Speed:
Total distance = l.
Total time = 7l/60 seconds.
Average speed = Total distance / Total time = l / (7l/60) = 60/7 m/s ≈ 8.57 m/s.
Therefore, the average speed for the complete journey is approximately 8.57 m/s.
A man travels total distance l.
He travels half of his journey with speed 10 m/s.
The remaining part of the journey was covered by him with speed 20 m/s for half of the remaining time and with velocity 40 m/s for the other half of the remaining time.
- Calculating Average Speed:
To calculate the average speed for the complete journey, we need to first find the total time taken for the journey. Let the total time taken be T seconds.
- Calculating Time:
Since the man travels half of his journey with speed 10 m/s, the time taken for this part of the journey is l/2 * 1/10 = l/20 seconds.
Let x be the distance covered with speed 20 m/s and y be the distance covered with speed 40 m/s.
The time taken for x distance is x/20 and for y distance is y/40 seconds.
From the given conditions, x = y.
So, x/20 + y/40 = T - l/20.
- Calculating Distance:
Since x = y, x + y + l/2 = l.
Substitute x = y in the above equation to find the values of x and y.
x = y = l/6.
- Calculating Total Time:
Substitute x = y = l/6 in x/20 + y/40 = T - l/20 to get T = 7l/60.
- Calculating Average Speed:
Total distance = l.
Total time = 7l/60 seconds.
Average speed = Total distance / Total time = l / (7l/60) = 60/7 m/s ≈ 8.57 m/s.
Therefore, the average speed for the complete journey is approximately 8.57 m/s.
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A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?
Question Description
A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?.
A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?.
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A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.?, a detailed solution for A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? has been provided alongside types of A man moves on a straight path. He travels total distance l. He travels half of his journey with speed 10 m/s. The remaining part of journey was covered by him with speed 20 m/s for half of remaining time and with velocity 40 m/s for other half of remaining time. Find the average speed in complete journey.? theory, EduRev gives you an
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