Glen left City N for City M at 09 46. Nicole left City N for City C at the same time. At 12 46, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 16 28.
- Find the distance between Cities A and C.
- If Nicole was 78 the speed of Glen, find Glen's speed.
(a)
Time taken for Glen and Nicole to travel 09 46 to 12 46 = 3 h
Time taken for Glen and Nicole to travel 09 46 to 16 28 = 6 h 42 min = 6
4260 h = 6
710 h
Distance travelled by Glen and Nicole in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
710 x 180
= 1206 km
(b)
Nicole's distance : Glen's distance
7 : 8
Nicole's speed : Glen's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Glen's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1206 km; (b) 96km/h