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A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these?
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A man covers a distance of 147 km on the motor bike. He starts with sp...
Given:
A man covers a distance of 147 km on a motorbike. He starts with a speed of x kmph and doubles his speed after every 45 minutes. He has to repeat this two times to cover the distance.
To find:
1. The initial speed of the man.
2. The average speed of the man.
Solution:
Let's break down the problem step by step.
Step 1: Finding the time taken for each segment
The man doubles his speed after every 45 minutes. So, let's find the time taken for each segment.
Segment 1: The man covers a distance of 147/2 = 73.5 km at his initial speed.
Time taken for segment 1 = Distance/Speed = 73.5/x
Segment 2: The man covers a distance of 147/4 = 36.75 km at twice his initial speed.
Time taken for segment 2 = Distance/Speed = 36.75/2x
Segment 3: The man covers a distance of 147/8 = 18.375 km at four times his initial speed.
Time taken for segment 3 = Distance/Speed = 18.375/4x
Step 2: Finding the total time taken
The man has to repeat this process two times. So the total time taken is:
Total time taken = Time taken for segment 1 + Time taken for segment 2 + Time taken for segment 3
Total time taken = 73.5/x + 36.75/2x + 18.375/4x
Step 3: Finding the average speed
Average speed is given by the formula:
Average speed = Total distance/Total time taken
Total distance = 147 km
Substituting the values, we get:
Average speed = 147/(73.5/x + 36.75/2x + 18.375/4x)
Simplifying the expression, we get:
Average speed = (4x^2)/(2x + x/2 + x/4)
Simplifying further, we get:
Average speed = (4x^2)/(9x/4)
Cancelling out x, we get:
Average speed = (16x)/(9)
Step 4: Solving for x
Now, we need to find the initial speed of the man. We can equate the average speed to the initial speed and solve for x.
(16x)/(9) = x
Simplifying the expression, we get:
16x = 9x
Since the equation is not satisfied for any value of x, the given options do not provide a correct solution.
Answer:
4) None of these. The given options do not provide a correct solution.
A man covers a distance of 147 km on a motorbike. He starts with a speed of x kmph and doubles his speed after every 45 minutes. He has to repeat this two times to cover the distance.
To find:
1. The initial speed of the man.
2. The average speed of the man.
Solution:
Let's break down the problem step by step.
Step 1: Finding the time taken for each segment
The man doubles his speed after every 45 minutes. So, let's find the time taken for each segment.
Segment 1: The man covers a distance of 147/2 = 73.5 km at his initial speed.
Time taken for segment 1 = Distance/Speed = 73.5/x
Segment 2: The man covers a distance of 147/4 = 36.75 km at twice his initial speed.
Time taken for segment 2 = Distance/Speed = 36.75/2x
Segment 3: The man covers a distance of 147/8 = 18.375 km at four times his initial speed.
Time taken for segment 3 = Distance/Speed = 18.375/4x
Step 2: Finding the total time taken
The man has to repeat this process two times. So the total time taken is:
Total time taken = Time taken for segment 1 + Time taken for segment 2 + Time taken for segment 3
Total time taken = 73.5/x + 36.75/2x + 18.375/4x
Step 3: Finding the average speed
Average speed is given by the formula:
Average speed = Total distance/Total time taken
Total distance = 147 km
Substituting the values, we get:
Average speed = 147/(73.5/x + 36.75/2x + 18.375/4x)
Simplifying the expression, we get:
Average speed = (4x^2)/(2x + x/2 + x/4)
Simplifying further, we get:
Average speed = (4x^2)/(9x/4)
Cancelling out x, we get:
Average speed = (16x)/(9)
Step 4: Solving for x
Now, we need to find the initial speed of the man. We can equate the average speed to the initial speed and solve for x.
(16x)/(9) = x
Simplifying the expression, we get:
16x = 9x
Since the equation is not satisfied for any value of x, the given options do not provide a correct solution.
Answer:
4) None of these. The given options do not provide a correct solution.
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A man covers a distance of 147 km on the motor bike. He starts with sp...
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A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these?
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A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these?.
A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these?.
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A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these?, a detailed solution for A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? has been provided alongside types of A man covers a distance of 147 km on the motor bike. He starts with speed of x kmph and dou- bles his speed after every 45 minutes. He has to repeat this two times to cover the distance. Find the intial speed of man and also find his average speed. 1) 21 kmph, 65.33 kmph 2) 28 kmph, 65.33 kmph 3) 25 kmph, 70 kmph 4) None of these? theory, EduRev gives you an
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