Oliver left City Y for City X at 07 48. Rachel left City Y for City C at the same time. At 10 48, they were 504 km apart. Both maintained a constant speed and reached their destination at the same time at 13 13.
- Find the distance between Cities A and C.
- If Rachel was 34 the speed of Oliver, find Oliver's speed.
(a)
Time taken for Oliver and Rachel to travel 07 48 to 10 48 = 3 h
Time taken for Oliver and Rachel to travel 07 48 to 13 13 = 5 h 25 min = 5
2560 h = 5
512 h
Distance travelled by Oliver and Rachel in 1 hour
= 504 ÷ 3
= 168 km
Total distance
= 5
512 x 168
= 910 km
(b)
Rachel's distance : Oliver's distance
3 : 4
Rachel's speed : Oliver's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Oliver's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 910 km; (b) 96km/h