Ian left City H for City G at 08 46. Emma left City H for City C at the same time. At 12 46, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 16.
- Find the distance between Cities A and C.
- If Emma was 45 the speed of Ian, find Ian's speed.
(a)
Time taken for Ian and Emma to travel 08 46 to 12 46 = 4 h
Time taken for Ian and Emma to travel 08 46 to 14 16 = 5 h 30 min = 5
3060 h = 5
12 h
Distance travelled by Ian and Emma in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 5
12 x 180
= 990 km
(b)
Emma's distance : Ian's distance
4 : 5
Emma's speed : Ian's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Ian's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 990 km; (b) 100km/h