Caden took 6 hours to travel from Country M to Country N at 56 km/h. Then he travelled from Country N to another country at 1.5 times his original speed. 50% of the distance from Country M to Country N is equal to ¹₅ of the distance from Country N to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country M to Country N
= 6 x 56
= 336 km

Speed from Country N to another country
= 1.5 x 56
= 84 km/h

50% = ⁵⁰₁₀₀ = ¹₆

¹₂ Distance from Country M to Country N = ¹₅ Distance from Country N to next country
¹₂ Distance from Country M to Country N = ¹₅ Distance from Country N to next country

2 u = 336
1 u = 336 ÷ 2 = 168

Distance from Country N to the next country
= 5 u
= 5 x 168
= 840 km

Time taken from Country N to the next country
= 840 ÷ 84
= 10 h

Total distance of the whole journey
= 336 + 840
= 1176 km

Total time taken for the whole journey = 6 + 10 = 16 h

Average speed of the whole journey
= 1176 ÷ 16
= 73 ⁸₁₆
= 73 ¹₂ km/h

Answer(s): 73 ¹₂ km/h