Neave left City D for City C at 09 30. Xandra left City D for City C at the same time. At 11 30, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 13 25.
- Find the distance between Cities A and C.
- If Xandra was 45 the speed of Neave, find Neave's speed.
(a)
Time taken for Neave and Xandra to travel 09 30 to 11 30 = 2 h
Time taken for Neave and Xandra to travel 09 30 to 13 25 = 3 h 55 min = 3
5560 h = 3
1112 h
Distance travelled by Neave and Xandra in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 3
1112 x 180
= 705 km
(b)
Xandra's distance : Neave's distance
4 : 5
Xandra's speed : Neave's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Neave's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 705 km; (b) 100km/h