Carl took 6 hours to travel from Country E to Country F at 50 km/h. Then he travelled from Country F to another country at 1.2 times his original speed. 50% of the distance from Country E to Country F is equal to ¹₄ 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
= 6 x 50
= 300 km

Speed from Country F to another country
= 1.2 x 50
= 60 km/h

50% = ⁵⁰₁₀₀ = ¹₆

¹₂ Distance from Country E to Country F = ¹₄ Distance from Country F to next country
¹₂ Distance from Country E to Country F = ¹₄ Distance from Country F to next country

2 u = 300
1 u = 300 ÷ 2 = 150

Distance from Country F to the next country
= 4 u
= 4 x 150
= 600 km

Time taken from Country F to the next country
= 600 ÷ 60
= 10 h

Total distance of the whole journey
= 300 + 600
= 900 km

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

Average speed of the whole journey
= 900 ÷ 16
= 56 ⁴₁₆
= 56 ¹₄ km/h

Answer(s): 56 ¹₄ km/h