Luke left City X for City W at 08 41. Lynn left City X for City C at the same time. At 11 41, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 15 32.
- Find the distance between Cities A and C.
- If Lynn was 35 the speed of Luke, find Luke's speed.
(a)
Time taken for Luke and Lynn to travel 08 41 to 11 41 = 3 h
Time taken for Luke and Lynn to travel 08 41 to 15 32 = 6 h 51 min = 6
5160 h = 6
1720 h
Distance travelled by Luke and Lynn in 1 hour
= 480 ÷ 3
= 160 km
Total distance
= 6
1720 x 160
= 1096 km
(b)
Lynn's distance : Luke's distance
3 : 5
Lynn's speed : Luke's speed
3 : 5
8 u = 160 km
1 u = 160 ÷ 8 = 20 km
Luke's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1096 km; (b) 100km/h