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a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point.
Verified Answer
a rectangular field is 150m×60m.two cyclist Karan and vijay start toge...
Given:L= 150m, B= 60m Speed of 1st cyclist= 21m/min Speed of 2nd cyclist = 28 m/min Distance travelled = perimeter of the field Perimeter of the field = 2 ( L+ B)= 2(150+60)= 420m Distance travelled = 420 m Time taken by 1st cyclist= distance / speed = 420/21 min Time taken by 2nd cyclist = 420/28 min Next time both the cyclists will meet at 420/7 = 60 minutes ( by taking HCF of denominator: HCF of 21 & 28 is 7).
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a rectangular field is 150m×60m.two cyclist Karan and vijay start toge...
The Problem
We have a rectangular field with dimensions 150m x 60m. Two cyclists, Karan and Vijay, start together from the same point on the field and cycle around the rectangular track. Karan cycles at a speed of 21m/min, while Vijay cycles at a speed of 28m/min. We need to determine how many minutes it will take for them to meet again at the starting point.
Approach
To solve this problem, we can consider the relative speed of Vijay with respect to Karan. Since they are cycling in the same direction, the relative speed will be the difference between their individual speeds.
Relative speed = Vijay's speed - Karan's speed = 28m/min - 21m/min = 7m/min
Now, we need to find the time it takes for the cyclists to complete one full lap around the rectangular field. To calculate this, we can find the perimeter of the field and divide it by the relative speed.
Calculating the Perimeter
The perimeter of a rectangle is given by the formula: 2(length + width)
Perimeter = 2(150m + 60m) = 420m
Calculating the Time
Time = Distance / Speed
Time = Perimeter / Relative speed = 420m / 7m/min = 60 minutes
So, it will take 60 minutes for the cyclists to meet again at the starting point.
Explanation
The relative speed of Vijay with respect to Karan helps us determine the time it takes for them to meet again. Since Vijay is faster than Karan, he will complete one lap around the field before Karan. The time it takes for Vijay to complete one lap is equal to the time it takes for Karan to catch up to Vijay.
By calculating the perimeter of the rectangular field and dividing it by the relative speed, we find that it takes 60 minutes for the cyclists to meet again at the starting point. This means that after 60 minutes, Karan will have completed one full lap, and Vijay will have completed more than one lap.
In conclusion, the cyclists will meet again at the starting point after 60 minutes of cycling.
We have a rectangular field with dimensions 150m x 60m. Two cyclists, Karan and Vijay, start together from the same point on the field and cycle around the rectangular track. Karan cycles at a speed of 21m/min, while Vijay cycles at a speed of 28m/min. We need to determine how many minutes it will take for them to meet again at the starting point.
Approach
To solve this problem, we can consider the relative speed of Vijay with respect to Karan. Since they are cycling in the same direction, the relative speed will be the difference between their individual speeds.
Relative speed = Vijay's speed - Karan's speed = 28m/min - 21m/min = 7m/min
Now, we need to find the time it takes for the cyclists to complete one full lap around the rectangular field. To calculate this, we can find the perimeter of the field and divide it by the relative speed.
Calculating the Perimeter
The perimeter of a rectangle is given by the formula: 2(length + width)
Perimeter = 2(150m + 60m) = 420m
Calculating the Time
Time = Distance / Speed
Time = Perimeter / Relative speed = 420m / 7m/min = 60 minutes
So, it will take 60 minutes for the cyclists to meet again at the starting point.
Explanation
The relative speed of Vijay with respect to Karan helps us determine the time it takes for them to meet again. Since Vijay is faster than Karan, he will complete one lap around the field before Karan. The time it takes for Vijay to complete one lap is equal to the time it takes for Karan to catch up to Vijay.
By calculating the perimeter of the rectangular field and dividing it by the relative speed, we find that it takes 60 minutes for the cyclists to meet again at the starting point. This means that after 60 minutes, Karan will have completed one full lap, and Vijay will have completed more than one lap.
In conclusion, the cyclists will meet again at the starting point after 60 minutes of cycling.
Community Answer
a rectangular field is 150m×60m.two cyclist Karan and vijay start toge...
Answer is 60 mins...but why dont u show the solution correctly???
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a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point.
Question Description
a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point..
a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a rectangular field is 150m×60m.two cyclist Karan and vijay start together and can cycle for speed of 21m/min and 28m/min.they can cycle along the rectangular track around the field from the same point and at the same moment. after how many minutes they will meet again at the starting point..
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