Luke left City E for City D at 07 42. Olivia left City E for City C at the same time. At 10 42, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 30.
- Find the distance between Cities A and C.
- If Olivia was 57 the speed of Luke, find Luke's speed.
(a)
Time taken for Luke and Olivia to travel 07 42 to 10 42 = 3 h
Time taken for Luke and Olivia to travel 07 42 to 14 30 = 6 h 48 min = 6
4860 h = 6
45 h
Distance travelled by Luke and Olivia in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
45 x 180
= 1224 km
(b)
Olivia's distance : Luke's distance
5 : 7
Olivia's speed : Luke's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Luke's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1224 km; (b) 105km/h