Race again

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Mon Feb 08, 2010 10:49 am

Karan and Arjun run a 100-metre 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 11metres
4. Karan beats Arjun by 1 metre
5. None of these

Last edited by shashank.ism on Mon Feb 08, 2010 10:51 am, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Mon Feb 08, 2010 10:49 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Mon Feb 08, 2010 10:50 am

shashank.ism wrote:Karan and Arjun run a 100-metre 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 11metres
4. Karan beats Arjun by 1 metre
5. None of these

Time in which Karan travels 100 m Arjun travels only 90 m. Hence the ratio of their speeds is 10:9.

Time in which Karan covers 110m, Arjun will cover 99m. Hence Arjun is beaten by 1 meter. Hence answer is 4.

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