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Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
1. Karan and Arjun reach the finishing line simultaneously
2. Arjun beats Karan by 1 metre
3. Arjun beats Karan by 11 metres
4. Karan beats Arjun by 1 metre

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Correct Answer - Option 4 : Karan beats Arjun by 1 metre

Given:

Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres. 

Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds.

Formula used:

Speed is directly proportional to the Distance

Calculation:

Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres.

When karan runs 100m and Arjun runs 90 m

⇒ Distance ratio = 100 : 90

⇒ Speed ratio = 100 : 90

⇒ 10 : 9

Karan starts 10 metres behind the starting line in a second 100 metre race.

Karan has runs 110 m

When Race is finish,

Arjun runs 9/10 of the karan runs

⇒ (9/10)× 110

⇒ 99 m 

Karan beats Arjun by 100 - 99

⇒ 1 m

∴ Karan beats Arjun by 1 m.

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