Perry took 5 hours to travel from Country T to Country U at 76 km/h. Then he travelled from Country U to another country at 1.5 times his original speed. 45% of the distance from Country T to Country U is equal to ¹₆ of the distance from Country U to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country T to Country U
= 5 x 76
= 380 km

Speed from Country U to another country
= 1.5 x 76
= 114 km/h

45% = ⁴⁵₁₀₀ = ⁹₅

⁹₂₀ Distance from Country T to Country U = ¹₆ Distance from Country U to next country
⁹₂₀ Distance from Country T to Country U = ⁹₅₄ Distance from Country U to next country

20 u = 380
1 u = 380 ÷ 20 = 19

Distance from Country U to the next country
= 54 u
= 54 x 19
= 1026 km

Time taken from Country U to the next country
= 1026 ÷ 114
= 9 h

Total distance of the whole journey
= 380 + 1026
= 1406 km

Total time taken for the whole journey = 5 + 9 = 14 h

Average speed of the whole journey
= 1406 ÷ 14
= 100 ⁶₁₄
= 100 ³₇ km/h

Answer(s): 100 ³₇ km/h