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For The Mathematically Inclined

Anil Saigal
12/05/2011

PROBLEM # 1
Given the following data points: k 8 8 2 6
If the median is 6, what is a highest possible value of k.

PROBLEM #2

If every couple stopped having kids when they have a boy, what will be the ratio of boys to girls in this world?


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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-120811 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

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If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 11/24/11

PROBLEM # 1
Akhil rode his bike the 4 miles to the fair at a relaxed pace. It took too long and had to double his speed on the way back in order to get home in time for dinner. If his total time traveling was 3 hours, how fast did he travel in each direction?

SOLUTION 1
2 mph going, 4 mph on return

PROBLEM #2
On Monday Nikhil drove to work in 45 minutes. On Tuesday he averaged 12 miles per hour more, and it took him 9 minutes less to get to work. How far does he travel to work?
 
SOLUTION 2

36 miles.

Congratulations to Akshay Gowrishankar and Kishore Balsara, who were winners of the last set of puzzles.



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