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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?

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? Correct Answer 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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