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The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?
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The ratio of the speeds of two trains is 2 : 5. If the distances they ...
Ratio of Speeds and Distances:
Given that the ratio of speeds of two trains is 2:5 and the distances they travel are in the ratio 5:9. Let's denote the speeds of the two trains as 2x and 5x, and the distances they travel as 5y and 9y, respectively.
Ratio of Times Taken:
The time taken is inversely proportional to speed. Therefore, the ratio of times taken by the two trains can be calculated as follows:
Time taken by the first train = Distance/Speed = 5y/2x = 5y/(2*2) = (5/4)y
Time taken by the second train = Distance/Speed = 9y/5x = 9y/(5*5) = (9/25)y
Therefore, the ratio of the times taken by the two trains is (5/4)y:(9/25)y.
Simplify Ratio:
To simplify the ratio, we can multiply the ratio by the reciprocal of the second term:
Ratio = (5/4)y : (9/25)y
Ratio = (5/4)y * (25/9) : (9/25)y * (25/9)
Ratio = 125/36 : 1
Ratio = 125 : 36
Therefore, the ratio of the times taken by the two trains is 125:36.
Given that the ratio of speeds of two trains is 2:5 and the distances they travel are in the ratio 5:9. Let's denote the speeds of the two trains as 2x and 5x, and the distances they travel as 5y and 9y, respectively.
Ratio of Times Taken:
The time taken is inversely proportional to speed. Therefore, the ratio of times taken by the two trains can be calculated as follows:
Time taken by the first train = Distance/Speed = 5y/2x = 5y/(2*2) = (5/4)y
Time taken by the second train = Distance/Speed = 9y/5x = 9y/(5*5) = (9/25)y
Therefore, the ratio of the times taken by the two trains is (5/4)y:(9/25)y.
Simplify Ratio:
To simplify the ratio, we can multiply the ratio by the reciprocal of the second term:
Ratio = (5/4)y : (9/25)y
Ratio = (5/4)y * (25/9) : (9/25)y * (25/9)
Ratio = 125/36 : 1
Ratio = 125 : 36
Therefore, the ratio of the times taken by the two trains is 125:36.
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The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?
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The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?.
The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speeds of two trains is 2 : 5. If the distances they travel are in the ratio 5 : 9, find the ratio of the times taken by them.?.
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