In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:60 m40 m20 m10 mNone
Question
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
- 60 m
- 40 m
- 20 m
- 10 m
- None
Solution
To solve this problem, we first need to understand that the ratio of speeds between A and B is 3:4. This means that for every 3 meters that A runs, B runs 4 meters.
Since A has a start of 140 meters, when A runs the remaining 360 meters (500-140), B will cover 480 meters (because 360*(4/3) = 480) in the same time (since B is faster).
So, when A reaches the finish line (500 meters), B would have covered 480 meters (140 meters start + 340 meters while A runs 360 meters).
Therefore, A wins by 20 meters (500-480).
So, the answer is 20 m.
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