Cole took 6 hours to travel from Country K to Country L at 50 km/h. Then he travelled from Country L to another country at 1.5 times his original speed. 50% of the distance from Country K to Country L is equal to ¹₃ of the distance from Country L to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country K to Country L
= 6 x 50
= 300 km

Speed from Country L to another country
= 1.5 x 50
= 75 km/h

50% = ⁵⁰₁₀₀ = ¹₆

¹₂ Distance from Country K to Country L = ¹₃ Distance from Country L to next country
¹₂ Distance from Country K to Country L = ¹₃ Distance from Country L to next country

2 u = 300
1 u = 300 ÷ 2 = 150

Distance from Country L to the next country
= 3 u
= 3 x 150
= 450 km

Time taken from Country L to the next country
= 450 ÷ 75
= 6 h

Total distance of the whole journey
= 300 + 450
= 750 km

Total time taken for the whole journey = 6 + 6 = 12 h

Average speed of the whole journey
= 750 ÷ 12
= 62 ⁶₁₂
= 62 ¹₂ km/h

Answer(s): 62 ¹₂ km/h