Difference between revisions of "2007 Cyprus MO/Lyceum/Problem 3"
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==Problem== | ==Problem== | ||
| − | A cyclist drives | + | A cyclist drives from town A to town B with velocity <math>40 \frac{\mathrm{km}}{\mathrm{h}}</math> and comes back with velocity <math>60 \frac{\mathrm{km}}{\mathrm{h}}</math>. The [[mean]] velocity in <math>\frac{\mathrm{km}}{\mathrm{h}}</math> for the total distance is |
<math> \mathrm{(A) \ } 45\qquad \mathrm{(B) \ } 48\qquad \mathrm{(C) \ } 50\qquad \mathrm{(D) \ } 55\qquad \mathrm{(E) \ } 100</math> | <math> \mathrm{(A) \ } 45\qquad \mathrm{(B) \ } 48\qquad \mathrm{(C) \ } 50\qquad \mathrm{(D) \ } 55\qquad \mathrm{(E) \ } 100</math> | ||
Latest revision as of 15:01, 24 May 2009
Problem
A cyclist drives from 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 
See also
| 2007 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
