Harry left City F for City E at 06 21. Anna left City F for City C at the same time. At 11 21, they were 840 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 Anna was 34 the speed of Harry, find Harry's speed.
(a)
Time taken for Harry and Anna to travel 06 21 to 11 21 = 5 h
Time taken for Harry and Anna to travel 06 21 to 13 16 = 6 h 55 min = 6
5560 h = 6
1112 h
Distance travelled by Harry and Anna in 1 hour
= 840 ÷ 5
= 168 km
Total distance
= 6
1112 x 168
= 1162 km
(b)
Anna's distance : Harry's distance
3 : 4
Anna's speed : Harry's speed
3 : 4
7 u = 168 km
1 u = 168 ÷ 7 = 24 km
Harry's speed
= 4 u
= 4 x 24
= 96 km/h
Answer(s): (a) 1162 km; (b) 96km/h