Archie left City U for City T at 07 45. Yen left City U for City C at the same time. At 11 45, they were 720 km apart. Both maintained a constant speed and reached their destination at the same time at 14 15.
- Find the distance between Cities A and C.
- If Yen was 57 the speed of Archie, find Archie's speed.
(a)
Time taken for Archie and Yen to travel 07 45 to 11 45 = 4 h
Time taken for Archie and Yen to travel 07 45 to 14 15 = 6 h 30 min = 6
3060 h = 6
12 h
Distance travelled by Archie and Yen in 1 hour
= 720 ÷ 4
= 180 km
Total distance
= 6
12 x 180
= 1170 km
(b)
Yen's distance : Archie's distance
5 : 7
Yen's speed : Archie's speed
5 : 7
12 u = 180 km
1 u = 180 ÷ 12 = 15 km
Archie's speed
= 7 u
= 7 x 15
= 105 km/h
Answer(s): (a) 1170 km; (b) 105km/h