If 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 : 11 : 81 : 981 : 1 : 91 : 9 : 81
Question
If 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 : 11 : 81 : 981 : 1 : 91 : 9 : 81
Solution
The ratio of speeds for walking, cycling, and running is given as 1 : 9 : 3.
We know that speed is inversely proportional to time taken when the distance is constant. This means that if the speed is higher, the time taken is less and vice versa.
So, the ratio of times taken for walking, cycling, and running would be the inverse of the speed ratio.
Therefore, the ratio of times would be 1/1 : 1/9 : 1/3, which simplifies to 9 : 1 : 3.
So, the ratio of their times and speeds of the three modes of travel is 9 : 1 : 3 for time and 1 : 9 : 3 for speed.
This option is not listed in the given options.
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