Select the correct answerIf a person covers the same distance by walking by cycling and by running with speeds in the ratio 1 : 9 : 3 respectively, then the ratio of their times and speeds of the three modes of travel is?Options1 : 1 : 181 : 1 : 91 : 9 : 811 : 81 : 9
Question
Select the correct answerIf a person covers the same distance by walking by cycling and by running with speeds in the ratio 1 : 9 : 3 respectively, then the ratio of their times and speeds of the three modes of travel is?Options1 : 1 : 181 : 1 : 91 : 9 : 811 : 81 : 9
Solution 1
The ratio of speeds is given as 1:9:3 for walking, cycling, and running respectively.
The time taken to cover the same distance is inversely proportional to the speed. This means if the speed is high, the time taken is less and vice versa.
So, the ratio of times will be the inverse of the ratio of speeds.
Hence, the ratio of times for walking, cycling, and running will be 1/1 : 1/9 : 1/3, which simplifies to 9 : 1 : 3.
Therefore, the correct answer is not in the options provided.
Solution 2
The answer to this question can be found by understanding the relationship between speed, distance, and time. The formula for speed is distance/time. Therefore, if the distance is the same for walking, cycling, and running, the time taken is inversely proportional to the speed.
Given the ratio of speeds as 1:9:3, the ratio of times will be the inverse, which is 9:1:3.
However, none of the options provided match this answer. There might be a mistake in the question or the options provided.
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