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?
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?
Solution 1
The speed ratio of walking, cycling, and running is given as 1:9:3.
The time taken to cover the same distance is inversely proportional to the speed. This means that if the speed is high, the time taken is less and if the speed is low, the time taken is more.
So, the ratio of time taken for walking, cycling, and running will be the inverse of the speed ratio.
Therefore, the time ratio will 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:
Time ratio: 9:1:3 Speed ratio: 1:9:3
Solution 2
The ratio of speeds for walking, cycling, and running is given as 1 : 9 : 3.
The time taken to cover the same distance is inversely proportional to the speed. This means that if the speed is high, the time taken is less and if the speed is low, the time taken is more.
So, the ratio of times for walking, cycling, and running will be the inverse of the speed ratio.
Therefore, the ratio of times for walking, cycling, and running is 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:
- Walking: Time - 9, Speed - 1
- Cycling: Time - 1, Speed - 9
- Running: Time - 3, Speed - 3
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