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.