Asher took 3 hours to travel from Country H to Country J at 74 km/h. Then he travelled from Country J to another country at 1.5 times his original speed. 50% of the distance from Country H to Country J is equal to ¹₃ of the distance from Country J to the next country. Find the average speed for the whole journey and express it as a mixed number.
Distance he travelled from Country H to Country J
= 3 x 74
= 222 km

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

50% = ⁵⁰₁₀₀ = ¹₃

¹₂ Distance from Country H to Country J = ¹₃ Distance from Country J to next country
¹₂ Distance from Country H to Country J = ¹₃ Distance from Country J to next country

2 u = 222
1 u = 222 ÷ 2 = 111

Distance from Country J to the next country
= 3 u
= 3 x 111
= 333 km

Time taken from Country J to the next country
= 333 ÷ 111
= 3 h

Total distance of the whole journey
= 222 + 333
= 555 km

Total time taken for the whole journey = 3 + 3 = 6 h

Average speed of the whole journey
= 555 ÷ 6
= 92 ³₆
= 92 ¹₂ km/h

Answer(s): 92 ¹₂ km/h