Difference between revisions of "2007 Cyprus MO/Lyceum/Problem 3"
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==Solution== | ==Solution== | ||
| − | Let the distance from | + | Let the distance from town A to town B, in kilometers, be <math>d</math>. |
The time it took the cyclist to travel from <math>A</math> to <math>B</math> was <math>\frac{d}{40}</math> hours. | The time it took the cyclist to travel from <math>A</math> to <math>B</math> was <math>\frac{d}{40}</math> hours. | ||
Revision as of 11:40, 6 May 2007
Problem
A cyclist drives form town A to town B with velocity 
and comes back with velocity 
. The mean velocity in 
for the total distance is
Solution
Let the distance from town A to town B, in kilometers, be 
.
The time it took the cyclist to travel from 
to 
was 
hours.
The time it took the cyclist to travel from to was 
hours.
The cyclist's mean velocity was 
