Charlie left City M for City L at 07 44. Jean left City M for City C at the same time. At 11 44, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 23.

1. Find the distance between Cities A and C.
2. If Jean was ⁵₇ the speed of Charlie, find Charlie's speed.

(a)
Time taken for Charlie and Jean to travel 07 44 to 11 44 = 4 h
Time taken for Charlie and Jean to travel 07 44 to 14 23 = 6 h 39 min = 6³⁹₆₀ h = 6¹³₂₀ h

Distance travelled by Charlie and Jean in 1 hour
= 720 ÷ 4
= 180 km

Total distance
= 6¹³₂₀ x 180
= 1197 km

(b)
Jean's distance : Charlie's distance
5 : 7

Jean's speed : Charlie's speed
5 : 7

12 u = 180 km
1 u = 180 ÷ 12 = 15 km

Charlie's speed
= 7 u
= 7 x 15
= 105 km/h

Answer(s): (a) 1197 km; (b) 105km/h