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For The Mathematically Inclined

Anil Saigal

Problem 1:

A swimming pool can be filled by a large pump in 3 hours and by a small pump in 6 hours, each pump working on its own. At 9 am large pump is started. At what time will the swimming pool be filled if small pump is started at 9:30 am?

Problem 2:
It takes 2 hours for Tim to mow the lawn. Linda can mow the same lawn in 3 hours. John can mow it in 5 hours.  John starts mowing at 9 am, and is joined by Linda at 10 am and Tim at 11 am.  At what time will they finish mowing the lawn? 

Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-060817 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. 


Problems from 05/25/17

Problem 1:
In American football the standard field dimensions are 120 yards long and 53 1/3 yards wide. What are the measures of angles  angles at the point where the diagonals intersect.

Problem 2:
Two gears are interconnected. The smaller gear has a radius of 4 inches, and the larger gear has a radius of 6 inches. The smaller gear rotates 90 degrees in 4 seconds. What is the angular speed, in degrees per seconds, of the larger gear?

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

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