Jeremy left City X for City W at 09 16. Nicole left City X for City C at the same time. At 11 16, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 16 13.

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

(a)
Time taken for Jeremy and Nicole to travel 09 16 to 11 16 = 2 h
Time taken for Jeremy and Nicole to travel 09 16 to 16 13 = 6 h 57 min = 6⁵⁷₆₀ h = 6¹⁹₂₀ h

Distance travelled by Jeremy and Nicole in 1 hour
= 360 ÷ 2
= 180 km

Total distance
= 6¹⁹₂₀ x 180
= 1251 km

(b)
Nicole's distance : Jeremy's distance
4 : 5

Nicole's speed : Jeremy's speed
4 : 5

9 u = 180 km
1 u = 180 ÷ 9 = 20 km

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

Answer(s): (a) 1251 km; (b) 100km/h