Tom left City D for City C at 05 48. Kylie left City D for City C at the same time. At 10 48, they were 1020 km apart. Both maintained a constant speed and reached their destination at the same time at 12 28.
- Find the distance between Cities A and C.
- If Kylie was 89 the speed of Tom, find Tom's speed.
(a)
Time taken for Tom and Kylie to travel 05 48 to 10 48 = 5 h
Time taken for Tom and Kylie to travel 05 48 to 12 28 = 6 h 40 min = 6
4060 h = 6
23 h
Distance travelled by Tom and Kylie in 1 hour
= 1020 ÷ 5
= 204 km
Total distance
= 6
23 x 204
= 1360 km
(b)
Kylie's distance : Tom's distance
8 : 9
Kylie's speed : Tom's speed
8 : 9
17 u = 204 km
1 u = 204 ÷ 17 = 12 km
Tom's speed
= 9 u
= 9 x 12
= 108 km/h
Answer(s): (a) 1360 km; (b) 108km/h