Japheth left City R for City Q at 05 21. Julie left City R for City C at the same time. At 10 21, they were 700 km apart. Both maintained a constant speed and reached their destination at the same time at 12 12.

1. Find the distance between Cities A and C.
2. If Julie was ⁵₉ the speed of Japheth, find Japheth's speed.

(a)
Time taken for Japheth and Julie to travel 05 21 to 10 21 = 5 h
Time taken for Japheth and Julie to travel 05 21 to 12 12 = 6 h 51 min = 6⁵¹₆₀ h = 6¹⁷₂₀ h

Distance travelled by Japheth and Julie in 1 hour
= 700 ÷ 5
= 140 km

Total distance
= 6¹⁷₂₀ x 140
= 959 km

(b)
Julie's distance : Japheth's distance
5 : 9

Julie's speed : Japheth's speed
5 : 9

14 u = 140 km
1 u = 140 ÷ 14 = 10 km

Japheth's speed
= 9 u
= 9 x 10
= 90 km/h

Answer(s): (a) 959 km; (b) 90km/h