Oliver left City B for City A at 08 32. Zoe left City B for City C at the same time. At 11 32, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 13 18.
- Find the distance between Cities A and C.
- If Zoe was 57 the speed of Oliver, find Oliver's speed.
(a)
Time taken for Oliver and Zoe to travel 08 32 to 11 32 = 3 h
Time taken for Oliver and Zoe to travel 08 32 to 13 18 = 4 h 46 min = 4
4660 h = 4
2330 h
Distance travelled by Oliver and Zoe in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 4
2330 x 180
= 858 km
(b)
Zoe's distance : Oliver's distance
5 : 7
Zoe's speed : Oliver's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Oliver's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 858 km; (b) 105km/h