Brandon left City G for City F at 07 45. Emma left City G for City C at the same time. At 11 45, they were 792 km apart. Both maintained a constant speed and reached their destination at the same time at 14 25.

1. Find the distance between Cities A and C.
2. If Emma was ⁵₆ the speed of Brandon, find Brandon's speed.

(a)
Time taken for Brandon and Emma to travel 07 45 to 11 45 = 4 h
Time taken for Brandon and Emma to travel 07 45 to 14 25 = 6 h 40 min = 6⁴⁰₆₀ h = 6²₃ h

Distance travelled by Brandon and Emma in 1 hour
= 792 ÷ 4
= 198 km

Total distance
= 6²₃ x 198
= 1320 km

(b)
Emma's distance : Brandon's distance
5 : 6

Emma's speed : Brandon's speed
5 : 6

11 u = 198 km
1 u = 198 ÷ 11 = 18 km

Brandon's speed
= 6 u
= 6 x 18
= 108 km/h

Answer(s): (a) 1320 km; (b) 108km/h