Time taken by A to cover 400 m = Distance/ Speed
= 400/16 s = 25 s
? B covers (400 -16) = 384 m in(25 + 40) = 65 s
? B's speed = 384/65 =5.9 m/s
Clearly, Y covers 140 m in 14 s
? Y' s time over the course = (14/140) x 1000 = 100 s
? X' s time over the course = 100 - 14 = 86 s
Clearly, B covers 18 m in 9 s.
? B's time over the course = 9/18 x 1000 = 500 s
? A' s time over the course = (500 - 9) = 491 s
Score of A = 100 points
Score of B = 65 points
? A can give (100 - 65 ) = 35 points to B.
Start given by A to B = (800 - 725)m = 75 m
Required length = (175 + 25)m = 200 m
When B runs 50 m, then A runs 45 m.
When B runs 1000 m, then A runs (45/50) x 1000 m = 900 m
? B beats A by 100 m.
The distance covered by B in 35 seconds = 200 x 35 / 38 = 3500 / 19 m
Now, 200 ? 3500 / 19 = 300 / 19 = 1515?19 m Hence, A can beat B by 1515?19 m.
If A run 1000 meters then B runs 900 meters and C runs 800 meters.
? B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 meters
Hence, B can beat C by (1350 ? 1200) = 150 m
If A Score 100 then B scores 80 and C score 72.
? B scores 80 while C scores 72
? B scores 100 while C scores 72 * 100 / 80 = 90 points
Hence, in 100 points B can give (100 ? 90) = 10 points
In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
? B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 m
Hence, in 1000 m race, B can give C (1000 - 18400 / 19) = 600 / 19 = 3111?19 meters start.
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