Harry left City L for City K at 09 32. Nora left City L for City C at the same time. At 12 32, they were 612 km apart. Both maintained a constant speed and reached their destination at the same time at 15 17.
- Find the distance between Cities A and C.
- If Nora was 57 the speed of Harry, find Harry's speed.
(a)
Time taken for Harry and Nora to travel 09 32 to 12 32 = 3 h
Time taken for Harry and Nora to travel 09 32 to 15 17 = 5 h 45 min = 5
4560 h = 5
34 h
Distance travelled by Harry and Nora in 1 hour
= 612 ÷ 3
= 204 km
Total distance
= 5
34 x 204
= 1173 km
(b)
Nora's distance : Harry's distance
5 : 7
Nora's speed : Harry's speed
5 : 7
12 u = 204 km
1 u = 204 ÷ 12 = 17 km
Harry's speed
= 7 u
= 7 x 17
= 119 km/h
Answer(s): (a) 1173 km; (b) 119km/h