For The Mathematically Inclined


Submitted by Aadhaarshila (ATFS)  The Math and Science Institute 08/19/2003
PROBLEM # 1
Joseph drove for 6 hours at an average speed of 44 mph. He drove 52 mph during the first two hours of his trip. How fast did she drive during the last 4 hours? PROBLEM # 2
If Megan were three times as old as she was six years ago, she will be three more than two times her current age. How old is Megan? 
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 SOLUTIONS TO PROBLEMS ON 8/14/03
PROBLEM # 1
Amy is twice as old as she was 10 years ago and Beth is half as old as she will be in 10 years. Who is older now? Amy or Beth?
SOLUTION
If Amy is x
x = 2(x10)
x= 2x  20
x = 20
Similarly Beth is now 10 and will be 20 in 10 years. So Amy is older now.
PROBLEM # 2
Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Josh will then have 3 times as much money as Aaron. How much money do two of them have together?
SOLUTION
If Josh has x:
x + 50 = 3 (3x50)
x + 50 = 9x  150
8x = 200
x = 25
So Josh has 25 and Aaron has 75. They both have a total of $100.00.
Winners
Congratulations to H. Bhatnagar, S. Hedge, S. Mallick, M.
Mankad, G. Nair, S. Nair, D. Padmanabhan, S. Pani, R. Pattisam, Rekha R., C.
Rajadhyaksha, M. Ramesh, R. Saluja, G. Subramaniyam, G. Varghese and B.
Venkataraman, who were all winners of the last set of problems.

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