Ryan took 5 hours to travel from Country E to Country F at 74 km/h. Then he travelled from Country F to another country at 1.5 times his original speed. 50% of the distance from Country E to Country F is equal to ¹₃ of the distance from Country F to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country E to Country F
= 5 x 74
= 370 km

Speed from Country F to another country
= 1.5 x 74
= 111 km/h

50% = ⁵⁰₁₀₀ = ¹₅

¹₂ Distance from Country E to Country F = ¹₃ Distance from Country F to next country
¹₂ Distance from Country E to Country F = ¹₃ Distance from Country F to next country

2 u = 370
1 u = 370 ÷ 2 = 185

Distance from Country F to the next country
= 3 u
= 3 x 185
= 555 km

Time taken from Country F to the next country
= 555 ÷ 111
= 5 h

Total distance of the whole journey
= 370 + 555
= 925 km

Total time taken for the whole journey = 5 + 5 = 10 h

Average speed of the whole journey
= 925 ÷ 10
= 92 ⁵₁₀
= 92 ¹₂ km/h

Answer(s): 92 ¹₂ km/h