Henry left City H for City G at 09 46. Erika left City H for City C at the same time. At 11 46, they were 416 km apart. Both maintained a constant speed and reached their destination at the same time at 14 16.
- Find the distance between Cities A and C.
- If Erika was 67 the speed of Henry, find Henry's speed.
(a)
Time taken for Henry and Erika to travel 09 46 to 11 46 = 2 h
Time taken for Henry and Erika to travel 09 46 to 14 16 = 4 h 30 min = 4
3060 h = 4
12 h
Distance travelled by Henry and Erika in 1 hour
= 416 ÷ 2
= 208 km
Total distance
= 4
12 x 208
= 936 km
(b)
Erika's distance : Henry's distance
6 : 7
Erika's speed : Henry's speed
6 : 7
13 u = 208 km
1 u = 208 ÷ 13 = 16 km
Henry's speed
= 7 u
= 7 x 16
= 112 km/h
Answer(s): (a) 936 km; (b) 112km/h