Enrichment problem
(1) Numbers and Operators
Use digit 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 once and insert simple arithmetic symbols to add up to 1.
(2) Distance of two towns
Two boats go up and down the river between two towns. They have the same two constant speeds: a high speed going down-stream and a low speed going upstream.
The first boat leaves town A as the second boat leaves town N. They pass each other 7 miles from town A; they stop 4 minutes each at their destinations; they start back and pass each other the second time at 9 miles from town A.
What is the distance between the towns?
Source:
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Friday, April 28, 2006
Numbers and Operators & Distance of two towns
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2 comments:
Answer:
(1)
35/70 + 148/296 = 1
(2)
Since the boats arrive and depart from their home towns at the same times, the problem is symmetrical. The distance from town A can be considered as if it were a distance from town B. Thus we can add 7 miles from town A to 9 miles from town B to get the total distance, 16 miles.
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