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For The Mathematically Inclined

Anil Saigal
03/28/2019

Problem 1
Two friends traveling by plane had a total of 35lb of luggage. They paid 72 and 108 dollars for being overweight. If only one paid for all the bags, it would cost 300 dollars. What weight of baggage did each of them have?

Problem 2
Five counters are open at airport for checkin. Customers wait an average of 15 minutes. How many more counters have to open to reduce the waiting time by 4 minutes? (Assume the processing time is uniform)

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-041119 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 - 03/28/19

Problem 1
If the endpoints of a diameter of a circle are (10, -1) and (3, 10), what is the radius of the circle?

Ans: 6.52.

Problem 2
What is the radius of the circle passing through (10,-1), (3,10), and (0,0)?

Ans: 6.37.



Congratulations to Ramachandran Balakrishna and Kishore Balsara, who were winners of the last set of puzzles.



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