Archie left City X for City W at 08 27. Betty left City X for City C at the same time. At 10 27, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 14 23.
- Find the distance between Cities A and C.
- If Betty was 78 the speed of Archie, find Archie's speed.
(a)
Time taken for Archie and Betty to travel 08 27 to 10 27 = 2 h
Time taken for Archie and Betty to travel 08 27 to 14 23 = 5 h 56 min = 5
5660 h = 5
1415 h
Distance travelled by Archie and Betty in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 5
1415 x 180
= 1068 km
(b)
Betty's distance : Archie's distance
7 : 8
Betty's speed : Archie's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Archie's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 1068 km; (b) 96km/h