Cole left City N for City M at 09 49. Esther left City N for City C at the same time. At 12 49, they were 540 km apart. Both maintained a constant speed and reached their destination at the same time at 16 45.
- Find the distance between Cities A and C.
- If Esther was 57 the speed of Cole, find Cole's speed.
(a)
Time taken for Cole and Esther to travel 09 49 to 12 49 = 3 h
Time taken for Cole and Esther to travel 09 49 to 16 45 = 6 h 56 min = 6
5660 h = 6
1415 h
Distance travelled by Cole and Esther in 1 hour
= 540 ÷ 3
= 180 km
Total distance
= 6
1415 x 180
= 1248 km
(b)
Esther's distance : Cole's distance
5 : 7
Esther'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) 1248 km; (b) 105km/h