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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


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 11th Jan, 2024

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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