Oscar left City H for City G at 07 26. Xandra left City H for City C at the same time. At 10 26, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 13 17.
- Find the distance between Cities A and C.
- If Xandra was 35 the speed of Oscar, find Oscar's speed.
(a)
Time taken for Oscar and Xandra to travel 07 26 to 10 26 = 3 h
Time taken for Oscar and Xandra to travel 07 26 to 13 17 = 5 h 51 min = 5
5160 h = 5
1720 h
Distance travelled by Oscar and Xandra in 1 hour
= 480 ÷ 3
= 160 km
Total distance
= 5
1720 x 160
= 936 km
(b)
Xandra's distance : Oscar's distance
3 : 5
Xandra's speed : Oscar's speed
3 : 5
8 u = 160 km
1 u = 160 ÷ 8 = 20 km
Oscar's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 936 km; (b) 100km/h