
Posted by Denis Borris on 1/10/2009, 5:14 pm
A, B and C want to get to point K.
One guy is 100 miles from K, the others 99 and 98 miles.
(these positions are not necessarily in A B C order)
This is all on a nice straight path leading to K.
All 3 leave together and get to K at same time.
The time elapsed is an even 20 hours.
Everybody starts off walking, later switches to running.
Nobody walks faster than 7 mph.
B walks 1 mph faster than A, C walks 1 mph faster than B.
Everyone's running speed is faster than his walking speed!
Nobody runs faster than 10 mph; running speeds all different.
Before the switch to running, everybody takes a rest.
Each guy rests a number of hours equal to his walking speed.
Also, everything is integers: speeds, distances and times.
If B's running speed is the minimum possible, then how
many miles did each guy run?



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