Simon left City X for City W at 09 18. Diana left City X for City C at the same time. At 11 18, they were 336 km apart. Both maintained a constant speed and reached their destination at the same time at 14 13.
- Find the distance between Cities A and C.
- If Diana was 34 the speed of Simon, find Simon's speed.
(a)
Time taken for Simon and Diana to travel 09 18 to 11 18 = 2 h
Time taken for Simon and Diana to travel 09 18 to 14 13 = 4 h 55 min = 4
5560 h = 4
1112 h
Distance travelled by Simon and Diana in 1 hour
= 336 ÷ 2
= 168 km
Total distance
= 4
1112 x 168
= 826 km
(b)
Diana's distance : Simon's distance
3 : 4
Diana's speed : Simon's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Simon's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 826 km; (b) 96km/h