Neave left City B for City A at 07 50. Zara left City B for City C at the same time. At 11 50, they were 660 km apart. Both maintained a constant speed and reached their destination at the same time at 14 38.
- Find the distance between Cities A and C.
- If Zara was 47 the speed of Neave, find Neave's speed.
(a)
Time taken for Neave and Zara to travel 07 50 to 11 50 = 4 h
Time taken for Neave and Zara to travel 07 50 to 14 38 = 6 h 48 min = 6
4860 h = 6
45 h
Distance travelled by Neave and Zara in 1 hour
= 660 ÷ 4
= 165 km
Total distance
= 6
45 x 165
= 1122 km
(b)
Zara's distance : Neave's distance
4 : 7
Zara's speed : Neave's speed
4 : 7
11 u = 165 km
1 u = 165 ÷ 11 = 15 km
Neave's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1122 km; (b) 105km/h