Charlie left City V for City U at 07 32. Jane left City V for City C at the same time. At 12 32, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 14 24.
- Find the distance between Cities A and C.
- If Jane was 78 the speed of Charlie, find Charlie's speed.
(a)
Time taken for Charlie and Jane to travel 07 32 to 12 32 = 5 h
Time taken for Charlie and Jane to travel 07 32 to 14 24 = 6 h 52 min = 6
5260 h = 6
1315 h
Distance travelled by Charlie and Jane in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
1315 x 180
= 1236 km
(b)
Jane's distance : Charlie's distance
7 : 8
Jane's speed : Charlie's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Charlie's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1236 km; (b) 96km/h