Flynn left City A for City Z at 08 17. Hazel left City A for City C at the same time. At 11 17, they were 585 km apart. Both maintained a constant speed and reached their destination at the same time at 14 13.
- Find the distance between Cities A and C.
- If Hazel was 67 the speed of Flynn, find Flynn's speed.
(a)
Time taken for Flynn and Hazel to travel 08 17 to 11 17 = 3 h
Time taken for Flynn and Hazel to travel 08 17 to 14 13 = 5 h 56 min = 5
5660 h = 5
1415 h
Distance travelled by Flynn and Hazel in 1 hour
= 585 ÷ 3
= 195 km
Total distance
= 5
1415 x 195
= 1157 km
(b)
Hazel's distance : Flynn's distance
6 : 7
Hazel's speed : Flynn's speed
6 : 7
13 u = 195 km
1 u = 195 ÷ 13 = 15 km
Flynn's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1157 km; (b) 105km/h