Question

Karan and Arjun run a 100-meter race, where Karan beats Arjun 10 meters. To do a favour to Arjun, Karan starts 10 meters behind the starting line in a second 100 meter race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

• A. Karan and Arjun reach the finishing line simultaneously.
• B. Arjun beats Karan by 1 meter.
• C. Arjun beats Karan by 11 meters.
• D. Karan beats Arjun by 1 meter.

Hint:

When a faster runner starts behind, they may still win or tie if the relative speed compensates for the starting disadvantage.

Answer 1

The Correct Option is A

In the first race, Karan beats Arjun by 10 meters. This means Karan's speed is higher. In the second race, Karan starts 10 meters behind, but given that both run at the same speeds, Karan will cover the same 100 meters that Arjun covers, reaching the finish line simultaneously. \[ \boxed{1} \]