Ken left City F for City E at 09 21. Gillian left City F for City C at the same time. At 13 21, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 15 15.
- Find the distance between Cities A and C.
- If Gillian was 57 the speed of Ken, find Ken's speed.
(a)
Time taken for Ken and Gillian to travel 09 21 to 13 21 = 4 h
Time taken for Ken and Gillian to travel 09 21 to 15 15 = 5 h 54 min = 5
5460 h = 5
910 h
Distance travelled by Ken and Gillian in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 5
910 x 180
= 1062 km
(b)
Gillian's distance : Ken's distance
5 : 7
Gillian's speed : Ken's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Ken's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1062 km; (b) 105km/h