Cole left City K for City J at 08 39. Cindy left City K for City C at the same time. At 11 39, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 14 33.
- Find the distance between Cities A and C.
- If Cindy was 57 the speed of Cole, find Cole's speed.
(a)
Time taken for Cole and Cindy to travel 08 39 to 11 39 = 3 h
Time taken for Cole and Cindy to travel 08 39 to 14 33 = 5 h 54 min = 5
5460 h = 5
910 h
Distance travelled by Cole and Cindy in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 5
910 x 180
= 1062 km
(b)
Cindy's distance : Cole's distance
5 : 7
Cindy's speed : Cole's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Cole's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1062 km; (b) 105km/h