Harry left City U for City T at 07 44. Ivory left City U for City C at the same time. At 12 44, they were 900 km apart. Both maintained a constant speed and reached their destination at the same time at 14 36.
- Find the distance between Cities A and C.
- If Ivory was 45 the speed of Harry, find Harry's speed.
(a)
Time taken for Harry and Ivory to travel 07 44 to 12 44 = 5 h
Time taken for Harry and Ivory to travel 07 44 to 14 36 = 6 h 52 min = 6
5260 h = 6
1315 h
Distance travelled by Harry and Ivory in 1 hour
= 900 ÷ 5
= 180 km
Total distance
= 6
1315 x 180
= 1236 km
(b)
Ivory's distance : Harry's distance
4 : 5
Ivory's speed : Harry's speed
4 : 5
9 u = 180 km
1 u = 180 ÷ 9 = 20 km
Harry's speed
= 5 u
= 5 x 20
= 100 km/h
Answer(s): (a) 1236 km; (b) 100km/h