Julian left City M for City L at 06 27. Joelle left City M for City C at the same time. At 10 27, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 13 22.

1. Find the distance between Cities A and C.
2. If Joelle was ⁴₅ the speed of Julian, find Julian's speed.

(a)
Time taken for Julian and Joelle to travel 06 27 to 10 27 = 4 h
Time taken for Julian and Joelle to travel 06 27 to 13 22 = 6 h 55 min = 6⁵⁵₆₀ h = 6¹¹₁₂ h

Distance travelled by Julian and Joelle in 1 hour
= 720 ÷ 4
= 180 km

Total distance
= 6¹¹₁₂ x 180
= 1245 km

(b)
Joelle's distance : Julian's distance
4 : 5

Joelle's speed : Julian's speed
4 : 5

9 u = 180 km
1 u = 180 ÷ 9 = 20 km

Julian's speed
= 5 u
= 5 x 20
= 100 km/h

Answer(s): (a) 1245 km; (b) 100km/h