Cole left City D for City C at 08 43. Erika left City D for City C at the same time. At 10 43, they were 360 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 Erika was 57 the speed of Cole, find Cole's speed.
(a)
Time taken for Cole and Erika to travel 08 43 to 10 43 = 2 h
Time taken for Cole and Erika to travel 08 43 to 15 15 = 6 h 32 min = 6
3260 h = 6
815 h
Distance travelled by Cole and Erika in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 6
815 x 180
= 1176 km
(b)
Erika's distance : Cole's distance
5 : 7
Erika'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) 1176 km; (b) 105km/h