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Q4 - Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

June 10, 2012
analytic geometrygraphing linesslope

Problem Statement

Q4. A man travels from town AA to town EE through B,CB,C and DD with uniform speeds 3km/h, 2km/h, 6km/h and 3km/h on the horizontal, up slope, down slope and horizontal road, respectively. If the road between town AA and town EE can be classified as horizontal, up slope, down slope and horizontal and total length of each typr of road is the same, what is the average speed of his journey? (A)  2km/h(B)  2,5km/h;(C)  3km/h;(D)  3,5km/h;(E)  4km/h.(A) \; 2 \text{km/h} \qquad (B) \; 2,5 \text{km/h} ; \qquad (C ) \; 3 \text{km/h} ; \qquad (D) \; 3,5 \text{km/h} ; \qquad (E) \; 4 \text{km/h}.
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