Archie left City Y for City X at 07 48. Rachel left City Y for City C at the same time. At 12 48, they were 880 km apart. Both maintained a constant speed and reached their destination at the same time at 14 33.
- Find the distance between Cities A and C.
- If Rachel was 35 the speed of Archie, find Archie's speed.
(a)
Time taken for Archie and Rachel to travel 07 48 to 12 48 = 5 h
Time taken for Archie and Rachel to travel 07 48 to 14 33 = 6 h 45 min = 6
4560 h = 6
34 h
Distance travelled by Archie and Rachel in 1 hour
= 880 ÷ 5
= 176 km
Total distance
= 6
34 x 176
= 1188 km
(b)
Rachel's distance : Archie's distance
3 : 5
Rachel's speed : Archie's speed
3 : 5
8 u = 176 km
1 u = 176 ÷ 8 = 22 km
Archie's speed
= 5 u
= 5 x 22
= 110 km/h
Answer(s): (a) 1188 km; (b) 110km/h