Question : In a linear race of 1000 m, Prakash beats Ved by 280 m, while Ved beats Rahul by 100 m. By how many metres does Prakash beat Rahul, in the same race?
Option 1: 346
Option 2: 350
Option 3: 352
Option 4: 348
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Correct Answer: 352
Solution :
Given: In a linear race of 1000 m, Prakash beats Ved by 280 m, while Ved beats Rahul by 100 m.
Prakash beats Ved by 280 m,
So, ratio of distances by Prakash : Ved = 1000 : (1000 – 280) = 1000 : 720 = 125 : 90
Also, Ved beats Rahul by 100 m.
So, ratio of distances by Ved : Rahul = 1000 : (1000 – 100) = 1000 : 900 = 10 : 9 = 90 : 81
Therefore, ratio of distances by Prakash : Ved : Rahul = 125 : 90 : 81 = 1000 : 720 : 648
$\therefore$ Prakash beats Rahul by (1000 – 648) = 352 m in a race of 1000 m.
Hence, the correct answer is 352.
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