Japheth left City X for City W at 09 26. Gabby left City X for City C at the same time. At 11 26, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 15 23.

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

(a)
Time taken for Japheth and Gabby to travel 09 26 to 11 26 = 2 h
Time taken for Japheth and Gabby to travel 09 26 to 15 23 = 5 h 57 min = 5⁵⁷₆₀ h = 5¹⁹₂₀ h

Distance travelled by Japheth and Gabby in 1 hour
= 360 ÷ 2
= 180 km

Total distance
= 5¹⁹₂₀ x 180
= 1071 km

(b)
Gabby's distance : Japheth's distance
4 : 5

Gabby's speed : Japheth's speed
4 : 5

9 u = 180 km
1 u = 180 ÷ 9 = 20 km

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

Answer(s): (a) 1071 km; (b) 100km/h