Archie left City P for City N at 08 25. Abi left City P for City C at the same time. At 11 25, they were 504 km apart. Both maintained a constant speed and reached their destination at the same time at 13 15.
- Find the distance between Cities A and C.
- If Abi was 34 the speed of Archie, find Archie's speed.
(a)
Time taken for Archie and Abi to travel 08 25 to 11 25 = 3 h
Time taken for Archie and Abi to travel 08 25 to 13 15 = 4 h 50 min = 4
5060 h = 4
56 h
Distance travelled by Archie and Abi in 1 hour
= 504 ÷ 3
= 168 km
Total distance
= 4
56 x 168
= 812 km
(b)
Abi's distance : Archie's distance
3 : 4
Abi's speed : Archie's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Archie's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 812 km; (b) 96km/h