Henry left City B for City A at 08 50. Rachel left City B for City C at the same time. At 10 50, they were 360 km apart. Both maintained a constant speed and reached their destination at the same time at 13 16.
- Find the distance between Cities A and C.
- If Rachel was 78 the speed of Henry, find Henry's speed.
(a)
Time taken for Henry and Rachel to travel 08 50 to 10 50 = 2 h
Time taken for Henry and Rachel to travel 08 50 to 13 16 = 4 h 26 min = 4
2660 h = 4
1330 h
Distance travelled by Henry and Rachel in 1 hour
= 360 ÷ 2
= 180 km
Total distance
= 4
1330 x 180
= 798 km
(b)
Rachel's distance : Henry's distance
7 : 8
Rachel's speed : Henry's speed
7 : 8
15 u = 180 km
1 u = 180 ÷ 15 = 12 km
Henry's speed
= 8 u
= 8 x 12
= 96 km/h
Answer(s): (a) 798 km; (b) 96km/h