Wesley took 6 hours to travel from Country K to Country L at 60 km/h. Then he travelled from Country L to another country at 1.8 times his original speed. 45% of the distance from Country K to Country L is equal to ¹₆ 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 60
= 360 km

Speed from Country L to another country
= 1.8 x 60
= 108 km/h

45% = ⁴⁵₁₀₀ = ⁹₆

⁹₂₀ Distance from Country K to Country L = ¹₆ Distance from Country L to next country
⁹₂₀ Distance from Country K to Country L = ⁹₅₄ Distance from Country L to next country

20 u = 360
1 u = 360 ÷ 20 = 18

Distance from Country L to the next country
= 54 u
= 54 x 18
= 972 km

Time taken from Country L to the next country
= 972 ÷ 108
= 9 h

Total distance of the whole journey
= 360 + 972
= 1332 km

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

Average speed of the whole journey
= 1332 ÷ 15
= 88 ¹²₁₅
= 88 ⁴₅ km/h

Answer(s): 88 ⁴₅ km/h