Simon left City X for City W at 09 44. Lucy left City X for City C at the same time. At 11 44, they were 330 km apart. Both maintained a constant speed and reached their destination at the same time at 16 20.
- Find the distance between Cities A and C.
- If Lucy was 56 the speed of Simon, find Simon's speed.
(a)
Time taken for Simon and Lucy to travel 09 44 to 11 44 = 2 h
Time taken for Simon and Lucy to travel 09 44 to 16 20 = 6 h 36 min = 6
3660 h = 6
35 h
Distance travelled by Simon and Lucy in 1 hour
= 330 ÷ 2
= 165 km
Total distance
= 6
35 x 165
= 1089 km
(b)
Lucy's distance : Simon's distance
5 : 6
Lucy's speed : Simon's speed
5 : 6
11 u = 165 km
1 u = 165 ÷ 11 = 15 km
Simon's speed
= 6 u
= 6 x 15
= 90 km/h
Answer(s): (a) 1089 km; (b) 90km/h