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Anil Saigal
04/10/2009
Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- PROBLEM # 1 The fuel efficiency of certain type of car is 30miles per gallon. The cost of fuel is 2 dollars per gallon. The manufacturer improves the efficiency by 2% every year at the same time the cost of fuel is expected to rise at 3% per year. How much would it cost do drive a mile after 10 years? 0.07 PROBLEM #2 Can you find x for which 4^x+5^x=6^x? - ∞, 2.5 Congratulations to Aseem Chandawarkar and Prabhakar Nadkarni, who were the winner of the last set of puzzles.
PROBLEM # 1
Any given length of highway is equally likely to have as many potholes as any other length of equal size. The average number of potholes per mile of highway is 3. What is the probability that 2 miles of highway have 3 or fewer potholes?
PROBLEM #2
Three people (A, B, and C) need to cross a bridge. A can cross the bridge in 10 minutes, B can cross in 5 minutes, and C can cross in 2 minutes. There is also a bicycle available and any person can cross the bridge in 1 minute with the bicycle. What is the shortest time that all men can get across the bridge? Each man travels at his own constant rate
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