Valen left City C for City B at 06 50. Ivory left City C for City C at the same time. At 11 50, they were 945 km apart. Both maintained a constant speed and reached their destination at the same time at 13 30.
- Find the distance between Cities A and C.
- If Ivory was 45 the speed of Valen, find Valen's speed.
(a)
Time taken for Valen and Ivory to travel 06 50 to 11 50 = 5 h
Time taken for Valen and Ivory to travel 06 50 to 13 30 = 6 h 40 min = 6
4060 h = 6
23 h
Distance travelled by Valen and Ivory in 1 hour
= 945 ÷ 5
= 189 km
Total distance
= 6
23 x 189
= 1260 km
(b)
Ivory's distance : Valen's distance
4 : 5
Ivory's speed : Valen's speed
4 : 5
9 u = 189 km
1 u = 189 ÷ 9 = 21 km
Valen's speed
= 5 u
= 5 x 21
= 105 km/h
Answer(s): (a) 1260 km; (b) 105km/h