Sean left City W for City V at 08 47. Emma left City W for City C at the same time. At 10 47, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 14 17.
- Find the distance between Cities A and C.
- If Emma was 78 the speed of Sean, find Sean's speed.
(a)
Time taken for Sean and Emma to travel 08 47 to 10 47 = 2 h
Time taken for Sean and Emma to travel 08 47 to 14 17 = 5 h 30 min = 5
3060 h = 5
12 h
Distance travelled by Sean and Emma in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 5
12 x 180
= 990 km
(b)
Emma's distance : Sean's distance
7 : 8
Emma's speed : Sean's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Sean's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 990 km; (b) 96km/h