Luke left City G for City F at 07 50. Fiona left City G for City C at the same time. At 11 50, they were 828 km apart. Both maintained a constant speed and reached their destination at the same time at 14 10.
- Find the distance between Cities A and C.
- If Fiona was 45 the speed of Luke, find Luke's speed.
(a)
Time taken for Luke and Fiona to travel 07 50 to 11 50 = 4 h
Time taken for Luke and Fiona to travel 07 50 to 14 10 = 6 h 20 min = 6
2060 h = 6
13 h
Distance travelled by Luke and Fiona in 1 hour
= 828 ÷ 4
= 207 km
Total distance
= 6
13 x 207
= 1311 km
(b)
Fiona's distance : Luke's distance
4 : 5
Fiona's speed : Luke's speed
4 : 5
9 u = 207 km
1 u = 207 ÷ 9 = 23 km
Luke's speed
= 5 u
= 5 x 23
= 115 km/h
Answer(s): (a) 1311 km; (b) 115km/h