For The Mathematically Inclined

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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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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