Simon left City C for City B at 08 44. Ivory left City C for City C at the same time. At 10 44, they were 396 km apart. Both maintained a constant speed and reached their destination at the same time at 13 14.
- Find the distance between Cities A and C.
- If Ivory was 56 the speed of Simon, find Simon's speed.
(a)
Time taken for Simon and Ivory to travel 08 44 to 10 44 = 2 h
Time taken for Simon and Ivory to travel 08 44 to 13 14 = 4 h 30 min = 4
3060 h = 4
12 h
Distance travelled by Simon and Ivory in 1 hour
= 396 ÷ 2
= 198 km
Total distance
= 4
12 x 198
= 891 km
(b)
Ivory's distance : Simon's distance
5 : 6
Ivory's speed : Simon's speed
5 : 6
11 u = 198 km
1 u = 198 ÷ 11 = 18 km
Simon's speed
= 6 u
= 6 x 18
= 108 km/h
Answer(s): (a) 891 km; (b) 108km/h