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TSD Q10

Karan and Arjun run a 100-meter race, where Karan beats Arjun 10 metres. To do a favour to Arjun, 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?
(a) Karan and
Arjun reach the finishing line simultaneously.
(b)
Arjun beats Karan by 1 metre

       (c) Arjun beats Karan by 11 metres.
(d) Karan beats
Arjun by 1 metre. 

The speeds of Karan and Arjun are in the ratio 10:9.

Let the speeds be 10s and 9s.

Time taken by Karan to cover 110 m = 110/10s = 11/s
Time taken by
Arjun to cover 100 m = 100/9s = 11.11/s
Therefore, Karan reaches the finish line before
Arjun.

From the options, the only possible answer is d).

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