Charlie left City U for City T at 08 26. Dana left City U for City C at the same time. At 10 26, they were 280 km apart. Both maintained a constant speed and reached their destination at the same time at 14 14.
- Find the distance between Cities A and C.
- If Dana was 59 the speed of Charlie, find Charlie's speed.
(a)
Time taken for Charlie and Dana to travel 08 26 to 10 26 = 2 h
Time taken for Charlie and Dana to travel 08 26 to 14 14 = 5 h 48 min = 5
4860 h = 5
45 h
Distance travelled by Charlie and Dana in 1 hour
= 280 ÷ 2
= 140 km
Total distance
= 5
45 x 140
= 812 km
(b)
Dana's distance : Charlie's distance
5 : 9
Dana's speed : Charlie's speed
5 : 9
14 u = 140 km
1 u = 140 ÷ 14 = 10 km
Charlie's speed
= 9 u
= 9 x 10
= 90 km/h
Answer(s): (a) 812 km; (b) 90km/h