Gabriel left City H for City G at 09 18. Sarah left City H for City C at the same time. At 11 18, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 16 10.

1. Find the distance between Cities A and C.
2. If Sarah was ⁷₈ the speed of Gabriel, find Gabriel's speed.

(a)
Time taken for Gabriel and Sarah to travel 09 18 to 11 18 = 2 h
Time taken for Gabriel and Sarah to travel 09 18 to 16 10 = 6 h 52 min = 6⁵²₆₀ h = 6¹³₁₅ h

Distance travelled by Gabriel and Sarah in 1 hour
= 360 ÷ 2
= 180 km

Total distance
= 6¹³₁₅ x 180
= 1236 km

(b)
Sarah's distance : Gabriel's distance
7 : 8

Sarah's speed : Gabriel's speed
7 : 8

15 u = 180 km
1 u = 180 ÷ 15 = 12 km

Gabriel's speed
= 8 u
= 8 x 12
= 96 km/h

Answer(s): (a) 1236 km; (b) 96km/h