Cole took 3 hours to travel from Country G to Country H at 65 km/h. Then he travelled from Country H to another country at 1.8 times his original speed. 60% of the distance from Country G to Country H is equal to ¹₅ of the distance from Country H to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country G to Country H
= 3 x 65
= 195 km

Speed from Country H to another country
= 1.8 x 65
= 117 km/h

60% = ⁶⁰₁₀₀ = ³₃

³₅ Distance from Country G to Country H = ¹₅ Distance from Country H to next country
³₅ Distance from Country G to Country H = ³₁₅ Distance from Country H to next country

5 u = 195
1 u = 195 ÷ 5 = 39

Distance from Country H to the next country
= 15 u
= 15 x 39
= 585 km

Time taken from Country H to the next country
= 585 ÷ 117
= 5 h

Total distance of the whole journey
= 195 + 585
= 780 km

Total time taken for the whole journey = 3 + 5 = 8 h

Average speed of the whole journey
= 780 ÷ 8
= 97 ⁴₈
= 97 ¹₂ km/h

Answer(s): 97 ¹₂ km/h