Fabian left City H for City G at 07 23. Sarah left City H for City C at the same time. At 10 23, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 13 14.
- Find the distance between Cities A and C.
- If Sarah was 57 the speed of Fabian, find Fabian's speed.
(a)
Time taken for Fabian and Sarah to travel 07 23 to 10 23 = 3 h
Time taken for Fabian and Sarah to travel 07 23 to 13 14 = 5 h 51 min = 5
5160 h = 5
1720 h
Distance travelled by Fabian and Sarah in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 5
1720 x 180
= 1053 km
(b)
Sarah's distance : Fabian's distance
5 : 7
Sarah's speed : Fabian's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Fabian's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1053 km; (b) 105km/h