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For The Mathematically Inclined

Anil Saigal
06/18/2014

PROBLEM #1

The distance between Station Atena and Station Barcena is 84 miles. A train starts from Atena towards Barcena. A bird starts at the same time from Barcena straight towards the moving train. On reaching the train, it instantaneously turns back and returns to Barcena. The bird makes these journeys from Barcena to the train and back to Barcena continuously till the train reaches Barcena. The bird finally returns to Barcena and rests. Calculate the total distance in miles the bird travels if he bird flies at 80 miles per hour and the speed of the train is 60 miles per hour.

PROBLEM #2

 
The 10" pizza sells for $4.99 at my favorite pizza store. The store claims they have a great deal on the large 14" pizza, which is specially priced at $8.80. What is the per cent discount the store is offering?
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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-061914 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 06/05/14

PROBLEM #1
"Sister, you have as many brothers as you have sisters." "Brother, you have twice as many sisters as you have brothers." Can you deduce from this conversation how many children there are in the family?

Solution


PROBLEM #2
A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they?

Solution
 

Congratulations to Kishore Balsara and Abhimanyu Bhargava, who were the winners of the last set of puzzles.



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