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For The Mathematically Inclined

Anil Saigal
12/06/2018

Problem 1:

Mr. Smith is on a road trip to a remote golf course 100 miles away. He travels part of the way at 60 miles/h along the highway, and part of the way at 20 miles/h along dirt roads. If it took 3 hours to get there, how  much time did he spend on dirt roads?

Problem 2:
A car travels between two cities  in 3 hours and 20 minutes. If it increase speed by 10 miles/hour it covers the same distance in 2 hours 30 minutes.   How far are the cities?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-122018 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 12/06/18

Problem 1:
Honza is 13 years old and Peter 21 years old. After how many years are their ages will be at ratio 7: 9?

Problem 2:
A man divides $10,000 into two investments, one returns  5% and the other at 8% per year. The returns are compounded into the principal.   Find how much is invested at each rate so that the two investments produce the same return after 10 years

Congratulations to Ramachandran Balakrishna who was the winner of the last set of puzzles



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