Harry left City X for City W at 08 44. Anna left City X for City C at the same time. At 10 44, they were 308 km apart. Both maintained a constant speed and reached their destination at the same time at 12 14.
- Find the distance between Cities A and C.
- If Anna was 47 the speed of Harry, find Harry's speed.
(a)
Time taken for Harry and Anna to travel 08 44 to 10 44 = 2 h
Time taken for Harry and Anna to travel 08 44 to 12 14 = 3 h 30 min = 3
3060 h = 3
12 h
Distance travelled by Harry and Anna in 1 hour
= 308 ÷ 2
= 154 km
Total distance
= 3
12 x 154
= 539 km
(b)
Anna's distance : Harry's distance
4 : 7
Anna's speed : Harry's speed
4 : 7
11 u = 154 km
1 u = 154 ÷ 11 = 14 km
Harry's speed
= 7 u
= 7 x 14
= 98 km/h
Answer(s): (a) 539 km; (b) 98km/h