Valen left City A for City Z at 07 24. Fiona left City A for City C at the same time. At 11 24, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 20.
- Find the distance between Cities A and C.
- If Fiona was 57 the speed of Valen, find Valen's speed.
(a)
Time taken for Valen and Fiona to travel 07 24 to 11 24 = 4 h
Time taken for Valen and Fiona to travel 07 24 to 14 20 = 6 h 56 min = 6
5660 h = 6
1415 h
Distance travelled by Valen and Fiona in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
1415 x 180
= 1248 km
(b)
Fiona's distance : Valen's distance
5 : 7
Fiona's speed : Valen's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Valen's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1248 km; (b) 105km/h