Cole took 6 hours to travel from Country F to Country G at 65 km/h. Then he travelled from Country G to another country at 1.6 times his original speed. 40% of the distance from Country F to Country G is equal to ¹₆ of the distance from Country G to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country F to Country G
= 6 x 65
= 390 km

Speed from Country G to another country
= 1.6 x 65
= 104 km/h

40% = ⁴⁰₁₀₀ = ²₆

²₅ Distance from Country F to Country G = ¹₆ Distance from Country G to next country
²₅ Distance from Country F to Country G = ²₁₂ Distance from Country G to next country

5 u = 390
1 u = 390 ÷ 5 = 78

Distance from Country G to the next country
= 12 u
= 12 x 78
= 936 km

Time taken from Country G to the next country
= 936 ÷ 104
= 9 h

Total distance of the whole journey
= 390 + 936
= 1326 km

Total time taken for the whole journey = 6 + 9 = 15 h

Average speed of the whole journey
= 1326 ÷ 15
= 88 ⁶₁₅
= 88 ²₅ km/h

Answer(s): 88 ²₅ km/h