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For The Mathematically Inclined

Anil Saigal
11/10/2017

Problem 1
At 9 am a car A began a journey from a point, traveling at 40 mph. At 10 am another car B started traveling from the same point at 60 mph in the same direction as car A. At what time will car B pass car A?

 
Problem 2:
Two cars left, at 8 am, from the same point, one traveling east at 40 mph and the other travelling south at 60 mph. At what time will they be 500 miles apart? 
Bonus: At what time will they be 500 miles apart if one car is travelling in south east at 40 mph and other is travelling in south at 60?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-110917 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 10/26/17


Problem 1
In three more years, Ram's grandfather will be six times as old as Ram was last year. When Ram's present age is added to his grandfather's present age, the total is 68. How old is each one now? 
 
Problem 2:
 
One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?



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