Jenson left City G for City F at 08 29. Raeann left City G for City C at the same time. At 11 29, they were 504 km apart. Both maintained a constant speed and reached their destination at the same time at 13 19.

1. Find the distance between Cities A and C.
2. If Raeann was ³₅ the speed of Jenson, find Jenson's speed.

(a)
Time taken for Jenson and Raeann to travel 08 29 to 11 29 = 3 h
Time taken for Jenson and Raeann to travel 08 29 to 13 19 = 4 h 50 min = 4⁵⁰₆₀ h = 4⁵₆ h

Distance travelled by Jenson and Raeann in 1 hour
= 504 ÷ 3
= 168 km

Total distance
= 4⁵₆ x 168
= 812 km

(b)
Raeann's distance : Jenson's distance
3 : 5

Raeann's speed : Jenson's speed
3 : 5

8 u = 168 km
1 u = 168 ÷ 8 = 21 km

Jenson's speed
= 5 u
= 5 x 21
= 105 km/h

Answer(s): (a) 812 km; (b) 105km/h