For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
09/10/2015

Problem #1

A chauffeur always arrives at the train station at exactly five o'clock to pick up his boss and drive her home. One day his boss arrives an hour early, starts walking home, and is picked up by the chauffeur on the way out to the train station. They arrive at home twenty minutes earlier than usual. How long did she walk before she met her chauffeur?

Problem #2

Two boys on bicycles 20 miles apart, began racing directly toward each other. The instance they started, a fly on the handle of one bicycle started flying straight toward the other cyclist. As soon as it reached the other handle bar it turned and started back. The fly went back and forth this way, from handle bar to handle bar, until the two bicycles met.If each bicycle had a constant speed of 10 miles per hour, and the fly flew at a constant speed of 15 miles per hour, how far did the fly fly?
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Solutions to Problems from 08/27/15

Problem #1

The product of four consecutive whole numbers is 3024. What are these numbers?

Solution:
6,7,8,9

Problem #2

An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's by two digits, the 3's by three digits, and the 4's by four digits. What is the number?

Solution:
41312432

Congratulations to Aseem Chandawarkar, Suhas Joglekar, Vinny Kaushik and Rohit Kaushik, who were the winners of last set of puzzles.

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