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For The Mathematically Inclined

Anil Saigal
10/06/2011

PROBLEM # 1
Boris hiked up a mountain trail and camped overnight at the top. The next day he returned down the same trail. His average rate traveling uphill was 2.4 kilometers per hour and his average rate downhill was 3.6 kilometers per hour. If he spent a total of 11 hours hiking, how long was the trail?

PROBLEM #2

If you throw a ball at a 30 degree angle from the ground at 100 mph, how far will it travel before it hits the ground.

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

Use Problem Solutions M-101311 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.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

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

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Problems from 09/29/11

PROBLEM # 1
Solve: 5 sqrt32 - 7 sqrt8

SOLUTION 1
6 sqrt(2).

PROBLEM #2
A bag of peanuts is worth $. 42 less than the same size of 
cashews. Equal amounts of peanuts and cashews are used to
make 40 bags of a mixture that sells for $1.10 per bag.
How much is a bag of cashews worth?

SOLUTION 2
$1.31.

Congratulations to Akshay Gowrishankar, Anindya Basu, Bharath Venkataraman, Harsh Sanchorawala, Kishore Balsara, Monica Biswas and Prabhakara Bhat, who were the winners of the last set of puzzles.



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