Reggie took 6 hours to travel from Country G to Country H at 50 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 ¹₄ 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
= 6 x 50
= 300 km

Speed from Country H to another country
= 1.8 x 50
= 90 km/h

60% = ⁶⁰₁₀₀ = ³₆

³₅ Distance from Country G to Country H = ¹₄ Distance from Country H to next country
³₅ Distance from Country G to Country H = ³₁₂ Distance from Country H to next country

5 u = 300
1 u = 300 ÷ 5 = 60

Distance from Country H to the next country
= 12 u
= 12 x 60
= 720 km

Time taken from Country H to the next country
= 720 ÷ 90
= 8 h

Total distance of the whole journey
= 300 + 720
= 1020 km

Total time taken for the whole journey = 6 + 8 = 14 h

Average speed of the whole journey
= 1020 ÷ 14
= 72 ¹²₁₄
= 72 ⁶₇ km/h

Answer(s): 72 ⁶₇ km/h