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| For The Mathematically Inclined |
Anil Saigal
12/20/2006
FOR CHILDREN FOR GROWNUPS PROBLEM # 2 How many kilograms of cucumbers has the greengrocer left at the end of the day? ------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 12/14/06 123456789 = 100 ANOTHER SOLUTION FOR GROWNUPS SOLUTION
A salesman drives from
Boston to New York. The first half of the distance of his journey, he
drives at a constant speed of 80 km/h. The second half of the distance
of his journey, he drives at a constant speed of 120 km/h.
What is the salesman's average speed for the complete journey?
PROBLEM # 1
On
a sunny morning, a greengrocer places 200 kilograms of cucumbers in
cases in front of his shop. At that moment, the cucumbers are 99% water
by weight. In the afternoon, it turns out that it is the hottest day of
the year, and as a result, the cucumbers dry out a little bit. At the
end of the day, the greengrocer has not sold a single cucumber, and the
cucumbers are only 98% water.
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-122806
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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FOR CHILDREN
PROBLEM # 1
Below
is an equation that isn't correct yet. By adding a number of plus signs
and minus signs between the digits on the left side (without changing
the order of the digits), the equation can be made correct.
Give another way of making the equation correct.
12+3+4+5-6-7+89+0=100.
PROBLEM # 2
The
height of a triangle is increasing at a rate of 2 cm/sec, while its
area is decreasing at a rate of 2 sq.cm./sec. Find the rate at which
the base of the triangle is changing when the height of the trainagle
is 20 cm and the area of the triangle is 80 sq.cm.
Decreases at the rate of 1 cm/sec.
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