Archie left City G for City F at 08 47. Pamela left City G for City C at the same time. At 10 47, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 15 44.

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

(a)
Time taken for Archie and Pamela to travel 08 47 to 10 47 = 2 h
Time taken for Archie and Pamela to travel 08 47 to 15 44 = 6 h 57 min = 6⁵⁷₆₀ h = 6¹⁹₂₀ h

Distance travelled by Archie and Pamela in 1 hour
= 360 ÷ 2
= 180 km

Total distance
= 6¹⁹₂₀ x 180
= 1251 km

(b)
Pamela's distance : Archie's distance
5 : 7

Pamela's speed : Archie's speed
5 : 7

12 u = 180 km
1 u = 180 ÷ 12 = 15 km

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

Answer(s): (a) 1251 km; (b) 105km/h