Charlie left City D for City C at 08 30. Yoko left City D for City C at the same time. At 10 30, they were 272 km apart. Both maintained a constant speed and reached their destination at the same time at 15 15.
- Find the distance between Cities A and C.
- If Yoko was 35 the speed of Charlie, find Charlie's speed.
(a)
Time taken for Charlie and Yoko to travel 08 30 to 10 30 = 2 h
Time taken for Charlie and Yoko to travel 08 30 to 15 15 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Charlie and Yoko in 1 hour
= 272 ÷ 2
= 136 km
Total distance
= 6
34 x 136
= 918 km
(b)
Yoko's distance : Charlie's distance
3 : 5
Yoko's speed : Charlie's speed
3 : 5
8 u = 136 km
1 u = 136 ÷ 8 = 17 km
Charlie's speed
= 5 u
= 5 x 17
= 85 km/h
Answer(s): (a) 918 km; (b) 85km/h