Ryan left City H for City G at 08 21. Victoria left City H for City C at the same time. At 10 21, they were 420 km apart. Both maintained a constant speed and reached their destination at the same time at 15 19.

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

(a)
Time taken for Ryan and Victoria to travel 08 21 to 10 21 = 2 h
Time taken for Ryan and Victoria to travel 08 21 to 15 19 = 6 h 58 min = 6⁵⁸₆₀ h = 6²⁹₃₀ h

Distance travelled by Ryan and Victoria in 1 hour
= 420 ÷ 2
= 210 km

Total distance
= 6²⁹₃₀ x 210
= 1463 km

(b)
Victoria's distance : Ryan's distance
7 : 8

Victoria's speed : Ryan's speed
7 : 8

15 u = 210 km
1 u = 210 ÷ 15 = 14 km

Ryan's speed
= 8 u
= 8 x 14
= 112 km/h

Answer(s): (a) 1463 km; (b) 112km/h