Cole left City K for City J at 08 38. Dana left City K for City C at the same time. At 11 38, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 32.
- Find the distance between Cities A and C.
- If Dana was 45 the speed of Cole, find Cole's speed.
(a)
Time taken for Cole and Dana to travel 08 38 to 11 38 = 3 h
Time taken for Cole and Dana to travel 08 38 to 14 32 = 5 h 54 min = 5
5460 h = 5
910 h
Distance travelled by Cole and Dana in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 5
910 x 180
= 1062 km
(b)
Dana's distance : Cole's distance
4 : 5
Dana's speed : Cole's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Cole's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1062 km; (b) 100km/h