Pentagon Problem
Every morning Mr. and Mrs Smith, go over a track around a pentagon, each side of which is a mile. Mr. Smith walking and running rates are 2 and 6 miles per hour respectively. The difference between the walking rates of the two is the same as the difference in the running speeds.
They start together from one corner but in different directions. Mr. Smith runs and Mrs. Smith walks till they meet; thereafter Mrs. Smith runs and Mr. Smith walks. They finish together after Mrs. Smith has covered the track twice and Mr. Smith just once.
Where all do they meet and how long do they take to finish?
They start together from one corner but in different directions. Mr. Smith runs and Mrs. Smith walks till they meet; thereafter Mrs. Smith runs and Mr. Smith walks. They finish together after Mrs. Smith has covered the track twice and Mr. Smith just once.
Where all do they meet and how long do they take to finish?
Labels: friday special, mathemagic, puzzle
posted by Rajesh Lal at
5:55 PM
4 Comments:
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They originally meet after Mr Smith has run 3 miles (30 mins) and Mrs Smith walked 2 miles. Then Mr Smith walks 2 miles (1 hour) and Mrs Smith runs 8 miles. So Mrs Smith walks at 4 mph and rund at 8 mph. This gives a difference of 4 mph for both.
They take a total of 1 hour 30 mins.
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